4077921590400 has 576 divisors, whose sum is σ = 15919478052480. Its totient is φ = 914504048640.

The previous prime is 4077921590381. The next prime is 4077921590401. The reversal of 4077921590400 is 40951297704.

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 4077921590400.

It is not an unprimeable number, because it can be changed into a prime (4077921590401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24849417 + ... + 25012983.

It is an arithmetic number, because the mean of its divisors is an integer number (27637982730).

Almost surely, 2^{4077921590400} is an apocalyptic number.

4077921590400 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 4077921590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7959739026240).

4077921590400 is an abundant number, since it is smaller than the sum of its proper divisors (11841556462080).

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

4077921590400 is a wasteful number, since it uses less digits than its factorization.

4077921590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163661 (or 163637 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The spelling of 4077921590400 in words is "four trillion, seventy-seven billion, nine hundred twenty-one million, five hundred ninety thousand, four hundred".