405036955440 has 800 divisors, whose sum is σ = 1600646885376. Its totient is φ = 94215260160.

The previous prime is 405036955283. The next prime is 405036955459. The reversal of 405036955440 is 44559630504.

405036955440 is a `hidden beast` number, since 4 + 0 + 50 + 3 + 6 + 9 + 554 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 112290117 + ... + 112293723.

Almost surely, 2^405036955440 is an apocalyptic number.

405036955440 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 405036955440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800323442688).

405036955440 is an abundant number, since it is smaller than the sum of its proper divisors (1195609929936).

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

405036955440 is a wasteful number, since it uses less digits than its factorization.

405036955440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3719 (or 3704 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 405036955440 in words is "four hundred five billion, thirty-six million, nine hundred fifty-five thousand, four hundred forty".