4008074400000 has 1080 divisors, whose sum is σ = 16299154162368. Its totient is φ = 971481600000.

The previous prime is 4008074399993. The next prime is 4008074400053. The reversal of 4008074400000 is 44708004.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 712797189 + ... + 712802811.

Almost surely, 2^{4008074400000} is an apocalyptic number.

4008074400000 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 4008074400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8149577081184).

4008074400000 is an abundant number, since it is smaller than the sum of its proper divisors (12291079762368).

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

4008074400000 is an frugal number, since it uses more digits than its factorization.

4008074400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5687 (or 5644 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The spelling of 4008074400000 in words is "four trillion, eight billion, seventy-four million, four hundred thousand".