402451324000 has 288 divisors, whose sum is σ = 1089921819168. Its totient is φ = 145937792000.

The previous prime is 402451323983. The next prime is 402451324043. The reversal of 402451324000 is 423154204.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 214411062 + ... + 214412938.

It is an arithmetic number, because the mean of its divisors is an integer number (3784450761).

Almost surely, 2^402451324000 is an apocalyptic number.

402451324000 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 402451324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544960909584).

402451324000 is an abundant number, since it is smaller than the sum of its proper divisors (687470495168).

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

402451324000 is a wasteful number, since it uses less digits than its factorization.

402451324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2367 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 402451324000 its reverse (423154204), we get a palindrome (402874478204).

The spelling of 402451324000 in words is "four hundred two billion, four hundred fifty-one million, three hundred twenty-four thousand".