4048088444400 has 720 divisors, whose sum is σ = 17542700306432. Its totient is φ = 776453990400.

The previous prime is 4048088444399. The next prime is 4048088444423. The reversal of 4048088444400 is 44448808404.

It is a hoax number, since the sum of its digits (48) 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4048088444400.

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, 13060017 + ... + 13366383.

Almost surely, 2^{4048088444400} is an apocalyptic number.

4048088444400 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 4048088444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8771350153216).

4048088444400 is an abundant number, since it is smaller than the sum of its proper divisors (13494611862032).

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

4048088444400 is a wasteful number, since it uses less digits than its factorization.

4048088444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306430 (or 306408 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 48.

The spelling of 4048088444400 in words is "four trillion, forty-eight billion, eighty-eight million, four hundred forty-four thousand, four hundred".