405212495040 has 504 divisors, whose sum is σ = 1501642932192. Its totient is φ = 100253368320.

The previous prime is 405212495027. The next prime is 405212495063. The reversal of 405212495040 is 40594212504.

It is a happy number.

405212495040 is a `hidden beast` number, since 4 + 0 + 521 + 2 + 4 + 95 + 0 + 40 = 666.

It is a super-2 number, since 2×405212495040² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 405212494986 and 405212495004.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 59091292 + ... + 59098148.

Almost surely, 2^405212495040 is an apocalyptic number.

405212495040 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 405212495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750821466096).

405212495040 is an abundant number, since it is smaller than the sum of its proper divisors (1096430437152).

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

405212495040 is a wasteful number, since it uses less digits than its factorization.

405212495040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6985 (or 6955 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 405212495040 in words is "four hundred five billion, two hundred twelve million, four hundred ninety-five thousand, forty".