4047057638400 has 1056 divisors, whose sum is σ = 16611479019520. Its totient is φ = 848019456000.

The previous prime is 4047057638347. The next prime is 4047057638417. The reversal of 4047057638400 is 48367507404.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4047057638400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 316640010 + ... + 316652790.

Almost surely, 2^{4047057638400} is an apocalyptic number.

4047057638400 is a gapful number since it is divisible by the number (40) 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 4047057638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8305739509760).

4047057638400 is an abundant number, since it is smaller than the sum of its proper divisors (12564421381120).

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

4047057638400 is a wasteful number, since it uses less digits than its factorization.

4047057638400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12871 (or 12848 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 48.

The spelling of 4047057638400 in words is "four trillion, forty-seven billion, fifty-seven million, six hundred thirty-eight thousand, four hundred".