315553440641400 has 576 divisors, whose sum is σ = 1199732969154720. Its totient is φ = 76610644992000.

The previous prime is 315553440641393. The next prime is 315553440641449. The reversal of 315553440641400 is 4146044355513.

315553440641400 is a `hidden beast` number, since 3 + 1 + 5 + 5 + 5 + 3 + 440 + 64 + 140 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42700500 + ... + 49542300.

Almost surely, 2^{315553440641400} is an apocalyptic number.

315553440641400 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 315553440641400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599866484577360).

315553440641400 is an abundant number, since it is smaller than the sum of its proper divisors (884179528513320).

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

315553440641400 is a wasteful number, since it uses less digits than its factorization.

315553440641400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6841918 (or 6841897 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

Adding to 315553440641400 its reverse (4146044355513), we get a palindrome (319699484996913).

The spelling of 315553440641400 in words is "three hundred fifteen trillion, five hundred fifty-three billion, four hundred forty million, six hundred forty-one thousand, four hundred".