406539510554772 has 384 divisors, whose sum is σ = 1299728263680000. Its totient is φ = 107292693602304.

The previous prime is 406539510554713. The next prime is 406539510554857. The reversal of 406539510554772 is 277455015935604.

406539510554772 is a `hidden beast` number, since 4 + 0 + 6 + 5 + 3 + 9 + 5 + 1 + 0 + 554 + 7 + 72 = 666.

It is a super-2 number, since 2×406539510554772² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 350865604 + ... + 352022372.

It is an arithmetic number, because the mean of its divisors is an integer number (3384709020000).

Almost surely, 2^{406539510554772} is an apocalyptic number.

406539510554772 is a gapful number since it is divisible by the number (42) 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 406539510554772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649864131840000).

406539510554772 is an abundant number, since it is smaller than the sum of its proper divisors (893188753125228).

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

406539510554772 is a wasteful number, since it uses less digits than its factorization.

406539510554772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157420 (or 1157412 counting only the distinct ones).

The product of its (nonzero) digits is 158760000, while the sum is 63.

The spelling of 406539510554772 in words is "four hundred six trillion, five hundred thirty-nine billion, five hundred ten million, five hundred fifty-four thousand, seven hundred seventy-two".