402120025600 has 240 divisors, whose sum is σ = 1029082790736. Its totient is φ = 155602944000.

The previous prime is 402120025589. The next prime is 402120025603. The reversal of 402120025600 is 6520021204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402120025603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85719255 + ... + 85723945.

Almost surely, 2^402120025600 is an apocalyptic number.

402120025600 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 402120025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514541395368).

402120025600 is an abundant number, since it is smaller than the sum of its proper divisors (626962765136).

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

402120025600 is a wasteful number, since it uses less digits than its factorization.

402120025600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4937 (or 4916 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 402120025600 its reverse (6520021204), we get a palindrome (408640046804).

The spelling of 402120025600 in words is "four hundred two billion, one hundred twenty million, twenty-five thousand, six hundred".