402926469120 has 576 divisors, whose sum is σ = 1637785578240. Its totient is φ = 92069167104.

The previous prime is 402926469091. The next prime is 402926469181. The reversal of 402926469120 is 21964629204.

402926469120 is a `hidden beast` number, since 40 + 2 + 9 + 26 + 469 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123861414 + ... + 123864666.

It is an arithmetic number, because the mean of its divisors is an integer number (2843377740).

Almost surely, 2^402926469120 is an apocalyptic number.

402926469120 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 402926469120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818892789120).

402926469120 is an abundant number, since it is smaller than the sum of its proper divisors (1234859109120).

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

402926469120 is an frugal number, since it uses more digits than its factorization.

402926469120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3308 (or 3270 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 402926469120 in words is "four hundred two billion, nine hundred twenty-six million, four hundred sixty-nine thousand, one hundred twenty".