402112314000 has 240 divisors, whose sum is σ = 1478363652480. Its totient is φ = 101586182400.

The previous prime is 402112313983. The next prime is 402112314041. The reversal of 402112314000 is 413211204.

402112314000 is a `hidden beast` number, since 402 + 1 + 123 + 140 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 245884 + ... + 929883.

It is an arithmetic number, because the mean of its divisors is an integer number (6159848552).

Almost surely, 2^402112314000 is an apocalyptic number.

402112314000 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 402112314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739181826240).

402112314000 is an abundant number, since it is smaller than the sum of its proper divisors (1076251338480).

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

402112314000 is a wasteful number, since it uses less digits than its factorization.

402112314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175815 (or 1175796 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 402112314000 its reverse (413211204), we get a palindrome (402525525204).

The spelling of 402112314000 in words is "four hundred two billion, one hundred twelve million, three hundred fourteen thousand".