409690872864 has 768 divisors, whose sum is σ = 1511903232000. Its totient is φ = 105066823680.

The previous prime is 409690872863. The next prime is 409690872883. The reversal of 409690872864 is 468278096904.

409690872864 is a `hidden beast` number, since 409 + 6 + 90 + 87 + 2 + 8 + 64 = 666.

409690872864 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×409690872864² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (409690872863) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 441001552 + ... + 441002480.

It is an arithmetic number, because the mean of its divisors is an integer number (1968624000).

Almost surely, 2^409690872864 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 409690872864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755951616000).

409690872864 is an abundant number, since it is smaller than the sum of its proper divisors (1102212359136).

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

409690872864 is a wasteful number, since it uses less digits than its factorization.

409690872864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 409690872864 in words is "four hundred nine billion, six hundred ninety million, eight hundred seventy-two thousand, eight hundred sixty-four".