402541461432 has 192 divisors, whose sum is σ = 1305928915200. Its totient is φ = 114806730240.

The previous prime is 402541461367. The next prime is 402541461451. The reversal of 402541461432 is 234164145204.

402541461432 is a `hidden beast` number, since 4 + 0 + 2 + 5 + 4 + 1 + 4 + 614 + 32 = 666.

402541461432 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190132 + ... + 917187.

It is an arithmetic number, because the mean of its divisors is an integer number (6801713100).

Almost surely, 2^402541461432 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 402541461432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652964457600).

402541461432 is an abundant number, since it is smaller than the sum of its proper divisors (903387453768).

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

402541461432 is a wasteful number, since it uses less digits than its factorization.

402541461432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107368 (or 1107352 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 402541461432 in words is "four hundred two billion, five hundred forty-one million, four hundred sixty-one thousand, four hundred thirty-two".