1412151672960 has 768 divisors, whose sum is σ = 5627799440640. Its totient is φ = 319620612096.

The previous prime is 1412151672941. The next prime is 1412151672979. The reversal of 1412151672960 is 692761512141.

1412151672960 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 1 + 516 + 72 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (1412151672941) and next prime (1412151672979).

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2535281002 + ... + 2535281558.

It is an arithmetic number, because the mean of its divisors is an integer number (7327863855).

Almost surely, 2^{1412151672960} is an apocalyptic number.

1412151672960 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 1412151672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813899720320).

1412151672960 is an abundant number, since it is smaller than the sum of its proper divisors (4215647767680).

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

1412151672960 is a wasteful number, since it uses less digits than its factorization.

1412151672960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 1412151672960 in words is "one trillion, four hundred twelve billion, one hundred fifty-one million, six hundred seventy-two thousand, nine hundred sixty".