402037473600 has 1512 divisors, whose sum is σ = 1764393321600. Its totient is φ = 89738772480.

The previous prime is 402037473587. The next prime is 402037473661. The reversal of 402037473600 is 6374730204.

It is a happy number.

402037473600 is a `hidden beast` number, since 4 + 0 + 2 + 0 + 3 + 7 + 47 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

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 215 ways as a sum of consecutive naturals, for example, 895406176 + ... + 895406624.

It is an arithmetic number, because the mean of its divisors is an integer number (1166926800).

Almost surely, 2^402037473600 is an apocalyptic number.

402037473600 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 402037473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882196660800).

402037473600 is an abundant number, since it is smaller than the sum of its proper divisors (1362355848000).

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

402037473600 is a wasteful number, since it uses less digits than its factorization.

402037473600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The spelling of 402037473600 in words is "four hundred two billion, thirty-seven million, four hundred seventy-three thousand, six hundred".