4082394800400 has 180 divisors, whose sum is σ = 15212336272272. Its totient is φ = 933118798080.

The previous prime is 4082394800357. The next prime is 4082394800423. The reversal of 4082394800400 is 40084932804.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34655442 + ... + 34773041.

Almost surely, 2^{4082394800400} is an apocalyptic number.

4082394800400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4082394800400 is an abundant number, since it is smaller than the sum of its proper divisors (11129941471872).

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

4082394800400 is a wasteful number, since it uses less digits than its factorization.

4082394800400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69428518 (or 69428500 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 4082394800400 in words is "four trillion, eighty-two billion, three hundred ninety-four million, eight hundred thousand, four hundred".