390155141376 has 1215 divisors, whose sum is σ = 1558206798603. Its totient is φ = 93543690240.

The previous prime is 390155141371. The next prime is 390155141377. The reversal of 390155141376 is 673141551093.

The square root of 390155141376 is 624624.

It is a perfect power (a square), and thus also a powerful number.

390155141376 is a `hidden beast` number, since 3 + 90 + 1 + 55 + 141 + 376 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 193445150976 + 196709990400 = 439824^2 + 443520^2 .

It is not an unprimeable number, because it can be changed into a prime (390155141371) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 30011933946 + ... + 30011933958.

Almost surely, 2^390155141376 is an apocalyptic number.

390155141376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

390155141376 is the 624624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390155141376

390155141376 is an abundant number, since it is smaller than the sum of its proper divisors (1168051657227).

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

390155141376 is an equidigital number, since it uses as much as digits as its factorization.

390155141376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 390155141376 in words is "three hundred ninety billion, one hundred fifty-five million, one hundred forty-one thousand, three hundred seventy-six".