402251504200000 has 1344 divisors, whose sum is σ = 1297785816391680. Its totient is φ = 120119915520000.

The previous prime is 402251504199997. The next prime is 402251504200081. The reversal of 402251504200000 is 2405152204.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 90945397789 + ... + 90945402211.

It is an arithmetic number, because the mean of its divisors is an integer number (965614446720).

Almost surely, 2^{402251504200000} is an apocalyptic number.

402251504200000 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 402251504200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648892908195840).

402251504200000 is an abundant number, since it is smaller than the sum of its proper divisors (895534312191680).

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

402251504200000 is a wasteful number, since it uses less digits than its factorization.

402251504200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4762 (or 4732 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 402251504200000 its reverse (2405152204), we get a palindrome (402253909352204).

The spelling of 402251504200000 in words is "four hundred two trillion, two hundred fifty-one billion, five hundred four million, two hundred thousand".