402433966080 has 816 divisors, whose sum is σ = 1545798945600. Its totient is φ = 96334774272.

The previous prime is 402433966079. The next prime is 402433966157. The reversal of 402433966080 is 80669334204.

402433966080 is a `hidden beast` number, since 4 + 0 + 2 + 4 + 3 + 39 + 6 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (816).

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

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, 1153105746 + ... + 1153106094.

Almost surely, 2^402433966080 is an apocalyptic number.

402433966080 is a gapful number since it is divisible by the number (40) 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 402433966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772899472800).

402433966080 is an abundant number, since it is smaller than the sum of its proper divisors (1143364979520).

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

402433966080 is a wasteful number, since it uses less digits than its factorization.

402433966080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 402433966080 in words is "four hundred two billion, four hundred thirty-three million, nine hundred sixty-six thousand, eighty".