402144652800 has 1200 divisors, whose sum is σ = 1669305849552. Its totient is φ = 94755225600.

The previous prime is 402144652733. The next prime is 402144652813. The reversal of 402144652800 is 8256441204.

It is a tau number, because it is divible by the number of its divisors (1200).

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 119 ways as a sum of consecutive naturals, for example, 421977124 + ... + 421978076.

Almost surely, 2^402144652800 is an apocalyptic number.

402144652800 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 402144652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834652924776).

402144652800 is an abundant number, since it is smaller than the sum of its proper divisors (1267161196752).

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

402144652800 is a wasteful number, since it uses less digits than its factorization.

402144652800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 402144652800 in words is "four hundred two billion, one hundred forty-four million, six hundred fifty-two thousand, eight hundred".