402064342460000 has 240 divisors, whose sum is σ = 1083042215152128. Its totient is φ = 145665691200000.

The previous prime is 402064342459999. The next prime is 402064342460089. The reversal of 402064342460000 is 64243460204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 56248109 + ... + 62991891.

Almost surely, 2^{402064342460000} is an apocalyptic number.

402064342460000 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 402064342460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541521107576064).

402064342460000 is an abundant number, since it is smaller than the sum of its proper divisors (680977872692128).

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

402064342460000 is a wasteful number, since it uses less digits than its factorization.

402064342460000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6744095 (or 6744072 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

The spelling of 402064342460000 in words is "four hundred two trillion, sixty-four billion, three hundred forty-two million, four hundred sixty thousand".