405061793136 has 1440 divisors, whose sum is σ = 1667458990080. Its totient is φ = 88795699200.

The previous prime is 405061793069. The next prime is 405061793177. The reversal of 405061793136 is 631397160504.

It is a happy number.

405061793136 is a `hidden beast` number, since 4 + 0 + 506 + 1 + 7 + 9 + 3 + 136 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 405061793091 and 405061793100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1103710425 + ... + 1103710791.

It is an arithmetic number, because the mean of its divisors is an integer number (1157957632).

Almost surely, 2^405061793136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405061793136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833729495040).

405061793136 is an abundant number, since it is smaller than the sum of its proper divisors (1262397196944).

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

405061793136 is a wasteful number, since it uses less digits than its factorization.

405061793136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 405061793136 in words is "four hundred five billion, sixty-one million, seven hundred ninety-three thousand, one hundred thirty-six".