402440169600 has 576 divisors, whose sum is σ = 1676098794240. Its totient is φ = 90027048960.

The previous prime is 402440169563. The next prime is 402440169611. The reversal of 402440169600 is 6961044204.

402440169600 is a `hidden beast` number, since 4 + 0 + 2 + 4 + 40 + 1 + 6 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9453964 + ... + 9496436.

It is an arithmetic number, because the mean of its divisors is an integer number (2909893740).

Almost surely, 2^402440169600 is an apocalyptic number.

402440169600 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 402440169600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838049397120).

402440169600 is an abundant number, since it is smaller than the sum of its proper divisors (1273658624640).

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

402440169600 is a wasteful number, since it uses less digits than its factorization.

402440169600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42557 (or 42537 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 402440169600 in words is "four hundred two billion, four hundred forty million, one hundred sixty-nine thousand, six hundred".