15380821440 has 336 divisors, whose sum is σ = 54395827200. Its totient is φ = 3987118080.

The previous prime is 15380821427. The next prime is 15380821447. The reversal of 15380821440 is 4412808351.

15380821440 is a `hidden beast` number, since 1 + 538 + 0 + 82 + 1 + 4 + 40 = 666.

It is a super-3 number, since 3×15380821440³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 15380821395 and 15380821404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15380821447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26936355 + ... + 26936925.

Almost surely, 2^15380821440 is an apocalyptic number.

15380821440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15380821440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27197913600).

15380821440 is an abundant number, since it is smaller than the sum of its proper divisors (39015005760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

15380821440 is a wasteful number, since it uses less digits than its factorization.

15380821440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 15380821440 in words is "fifteen billion, three hundred eighty million, eight hundred twenty-one thousand, four hundred forty".