402142190584680 has 960 divisors, whose sum is σ = 1739033398927440. Its totient is φ = 82554389471232.

The previous prime is 402142190584649. The next prime is 402142190584787. The reversal of 402142190584680 is 86485091241204.

402142190584680 is a `hidden beast` number, since 4 + 0 + 2 + 1 + 42 + 1 + 90 + 58 + 468 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 71073903525156 + 331068287059524 = 8430534^2 + 18195282^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 73730484 + ... + 78996636.

Almost surely, 2^{402142190584680} is an apocalyptic number.

402142190584680 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 402142190584680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869516699463720).

402142190584680 is an abundant number, since it is smaller than the sum of its proper divisors (1336891208342760).

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

402142190584680 is a wasteful number, since it uses less digits than its factorization.

402142190584680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5266240 (or 5266220 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 402142190584680 in words is "four hundred two trillion, one hundred forty-two billion, one hundred ninety million, five hundred eighty-four thousand, six hundred eighty".