402070744812672 has 640 divisors, whose sum is σ = 1319490558059520. Its totient is φ = 120752297164800.

The previous prime is 402070744812641. The next prime is 402070744812767. The reversal of 402070744812672 is 276218447070204.

402070744812672 is a `hidden beast` number, since 4 + 0 + 2 + 0 + 7 + 0 + 7 + 448 + 126 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8525468772 + ... + 8525515932.

It is an arithmetic number, because the mean of its divisors is an integer number (2061703996968).

Almost surely, 2^{402070744812672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402070744812672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659745279029760).

402070744812672 is an abundant number, since it is smaller than the sum of its proper divisors (917419813246848).

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

402070744812672 is a wasteful number, since it uses less digits than its factorization.

402070744812672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48714 (or 48693 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 54.

The spelling of 402070744812672 in words is "four hundred two trillion, seventy billion, seven hundred forty-four million, eight hundred twelve thousand, six hundred seventy-two".