405428975037792 has 144 divisors (see below), whose sum is σ = 1159551057515760. Its totient is φ = 134369180467200.

The previous prime is 405428975037719. The next prime is 405428975037797. The reversal of 405428975037792 is 297730579824504.

405428975037792 is a `hidden beast` number, since 4 + 0 + 5 + 4 + 28 + 9 + 7 + 503 + 7 + 7 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 405428975037792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405428975037797) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58008792 + ... + 64621032.

It is an arithmetic number, because the mean of its divisors is an integer number (8052437899415).

Almost surely, 2^{405428975037792} 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 405428975037792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579775528757880).

405428975037792 is an abundant number, since it is smaller than the sum of its proper divisors (754122082477968).

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

405428975037792 is a wasteful number, since it uses less digits than its factorization.

405428975037792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6613477 (or 6613466 counting only the distinct ones).

The product of its (nonzero) digits is 1066867200, while the sum is 72.

The spelling of 405428975037792 in words is "four hundred five trillion, four hundred twenty-eight billion, nine hundred seventy-five million, thirty-seven thousand, seven hundred ninety-two".