1406197512720 has 1920 divisors, whose sum is σ = 6638935080960. Its totient is φ = 267126128640.

The previous prime is 1406197512683. The next prime is 1406197512721. The reversal of 1406197512720 is 272157916041.

1406197512720 is a `hidden beast` number, since 1 + 4 + 0 + 61 + 9 + 7 + 512 + 72 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1406197512721) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2471348596 + ... + 2471349164.

It is an arithmetic number, because the mean of its divisors is an integer number (3457778688).

Almost surely, 2^{1406197512720} is an apocalyptic number.

1406197512720 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 1406197512720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3319467540480).

1406197512720 is an abundant number, since it is smaller than the sum of its proper divisors (5232737568240).

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

1406197512720 is a wasteful number, since it uses less digits than its factorization.

1406197512720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 1406197512720 in words is "one trillion, four hundred six billion, one hundred ninety-seven million, five hundred twelve thousand, seven hundred twenty".