402347954750976 has 960 divisors, whose sum is σ = 1297072614182400. Its totient is φ = 123088320036864.

The previous prime is 402347954750971. The next prime is 402347954750993. The reversal of 402347954750976 is 679057459743204.

402347954750976 is a `hidden beast` number, since 4 + 0 + 2 + 3 + 4 + 7 + 9 + 5 + 47 + 509 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402347954750971) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 458777599050 + ... + 458777599926.

It is an arithmetic number, because the mean of its divisors is an integer number (1351117306440).

Almost surely, 2^{402347954750976} 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 402347954750976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648536307091200).

402347954750976 is an abundant number, since it is smaller than the sum of its proper divisors (894724659431424).

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

402347954750976 is a wasteful number, since it uses less digits than its factorization.

402347954750976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 1600300800, while the sum is 72.

The spelling of 402347954750976 in words is "four hundred two trillion, three hundred forty-seven billion, nine hundred fifty-four million, seven hundred fifty thousand, nine hundred seventy-six".