412547253888 has 384 divisors, whose sum is σ = 1400871672000. Its totient is φ = 106365665280.

The previous prime is 412547253871. The next prime is 412547253907. The reversal of 412547253888 is 888352745214.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×412547253888² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28348438 + ... + 28362986.

Almost surely, 2^412547253888 is an apocalyptic number.

412547253888 is a gapful number since it is divisible by the number (48) 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 412547253888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700435836000).

412547253888 is an abundant number, since it is smaller than the sum of its proper divisors (988324418112).

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

412547253888 is a wasteful number, since it uses less digits than its factorization.

412547253888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14728 (or 14709 counting only the distinct ones).

The product of its digits is 17203200, while the sum is 57.

It can be divided in two parts, 412547 and 253888, that added together give a triangular number (666435 = T₁₁₅₄).

The spelling of 412547253888 in words is "four hundred twelve billion, five hundred forty-seven million, two hundred fifty-three thousand, eight hundred eighty-eight".