415251360000 has 675 divisors, whose sum is σ = 1555952444431. Its totient is φ = 110115072000.

The previous prime is 415251359989. The next prime is 415251360037. The reversal of 415251360000 is 63152514.

The square root of 415251360000 is 644400.

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

415251360000 is a `hidden beast` number, since 4 + 1 + 5 + 2 + 51 + 3 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32555706624 + 382695653376 = 180432^2 + 618624^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 2319839911 + ... + 2319840089.

Almost surely, 2^415251360000 is an apocalyptic number.

415251360000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

415251360000 is the 644400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415251360000

415251360000 is an abundant number, since it is smaller than the sum of its proper divisors (1140701084431).

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

415251360000 is an frugal number, since it uses more digits than its factorization.

415251360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

415251360000 divided by its product of nonzero digits (3600) gives a square (115347600 = 10740²).

The spelling of 415251360000 in words is "four hundred fifteen billion, two hundred fifty-one million, three hundred sixty thousand".