402626285083008 has 1920 divisors, whose sum is σ = 1480805308477440. Its totient is φ = 106333129728000.

The previous prime is 402626285083003. The next prime is 402626285083049. The reversal of 402626285083008 is 800380582626204.

It is a happy number.

402626285083008 is a `hidden beast` number, since 4 + 0 + 2 + 6 + 2 + 628 + 5 + 0 + 8 + 3 + 0 + 0 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402626285083003) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 187879739985 + ... + 187879742127.

It is an arithmetic number, because the mean of its divisors is an integer number (771252764832).

Almost surely, 2^{402626285083008} is an apocalyptic number.

402626285083008 is a gapful number since it is divisible by the number (48) 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 402626285083008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740402654238720).

402626285083008 is an abundant number, since it is smaller than the sum of its proper divisors (1078179023394432).

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

402626285083008 is a wasteful number, since it uses less digits than its factorization.

402626285083008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2386 (or 2346 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 402626285083008 in words is "four hundred two trillion, six hundred twenty-six billion, two hundred eighty-five million, eighty-three thousand, eight".