1379751405120 has 336 divisors, whose sum is σ = 5481747093888. Its totient is φ = 314809466880.

The previous prime is 1379751405119. The next prime is 1379751405157. The reversal of 1379751405120 is 215041579731.

1379751405120 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 7 + 514 + 0 + 5 + 120 = 666.

It is a super-2 number, since 2×1379751405120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 742404 + ... + 1819523.

Almost surely, 2^{1379751405120} is an apocalyptic number.

1379751405120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1379751405120 is an abundant number, since it is smaller than the sum of its proper divisors (4101995688768).

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

1379751405120 is a wasteful number, since it uses less digits than its factorization.

1379751405120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2561978 (or 2561965 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

It can be divided in two parts, 1379751 and 405120, that added together give a palindrome (1784871).

The spelling of 1379751405120 in words is "one trillion, three hundred seventy-nine billion, seven hundred fifty-one million, four hundred five thousand, one hundred twenty".