402033777120 has 1152 divisors, whose sum is σ = 1600457564160. Its totient is φ = 91311390720.

The previous prime is 402033777113. The next prime is 402033777217. The reversal of 402033777120 is 21777330204.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 721783882 + ... + 721784438.

It is an arithmetic number, because the mean of its divisors is an integer number (1389286080).

Almost surely, 2^402033777120 is an apocalyptic number.

402033777120 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 402033777120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800228782080).

402033777120 is an abundant number, since it is smaller than the sum of its proper divisors (1198423787040).

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

402033777120 is a wasteful number, since it uses less digits than its factorization.

402033777120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The spelling of 402033777120 in words is "four hundred two billion, thirty-three million, seven hundred seventy-seven thousand, one hundred twenty".