395977155840 has 1728 divisors, whose sum is σ = 1727926566912. Its totient is φ = 81749606400.

The previous prime is 395977155829. The next prime is 395977155853. The reversal of 395977155840 is 48551779593.

395977155840 is a `hidden beast` number, since 3 + 9 + 5 + 9 + 7 + 71 + 558 + 4 + 0 = 666.

It is a super-2 number, since 2×395977155840² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4082238672 + ... + 4082238768.

It is an arithmetic number, because the mean of its divisors is an integer number (999957504).

Almost surely, 2^395977155840 is an apocalyptic number.

395977155840 is a gapful number since it is divisible by the number (30) 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 395977155840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863963283456).

395977155840 is an abundant number, since it is smaller than the sum of its proper divisors (1331949411072).

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

395977155840 is a wasteful number, since it uses less digits than its factorization.

395977155840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 47628000, while the sum is 63.

The spelling of 395977155840 in words is "three hundred ninety-five billion, nine hundred seventy-seven million, one hundred fifty-five thousand, eight hundred forty".