405497917440 has 624 divisors, whose sum is σ = 1752440990976. Its totient is φ = 84256358400.

The previous prime is 405497917393. The next prime is 405497917453. The reversal of 405497917440 is 44719794504.

405497917440 is a `hidden beast` number, since 4 + 0 + 549 + 7 + 91 + 7 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×405497917440² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14178355 + ... + 14206925.

It is an arithmetic number, because the mean of its divisors is an integer number (2808399024).

Almost surely, 2^405497917440 is an apocalyptic number.

405497917440 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 405497917440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876220495488).

405497917440 is an abundant number, since it is smaller than the sum of its proper divisors (1346943073536).

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

405497917440 is a wasteful number, since it uses less digits than its factorization.

405497917440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28624 (or 28599 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 405497917440 in words is "four hundred five billion, four hundred ninety-seven million, nine hundred seventeen thousand, four hundred forty".