395156375040 has 640 divisors, whose sum is σ = 1502843240448. Its totient is φ = 86673162240.

The previous prime is 395156375027. The next prime is 395156375051. The reversal of 395156375040 is 40573651593.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×395156375040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 211652187 + ... + 211654053.

Almost surely, 2^395156375040 is an apocalyptic number.

395156375040 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 395156375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751421620224).

395156375040 is an abundant number, since it is smaller than the sum of its proper divisors (1107686865408).

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

395156375040 is a wasteful number, since it uses less digits than its factorization.

395156375040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 2042 counting only the distinct ones).

The product of its (nonzero) digits is 1701000, while the sum is 48.

The spelling of 395156375040 in words is "three hundred ninety-five billion, one hundred fifty-six million, three hundred seventy-five thousand, forty".