4040552550400 has 312 divisors, whose sum is σ = 10401026684544. Its totient is φ = 1555788595200.

The previous prime is 4040552550341. The next prime is 4040552550479. The reversal of 4040552550400 is 40552550404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293573919 + ... + 293587681.

Almost surely, 2^{4040552550400} is an apocalyptic number.

4040552550400 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 4040552550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5200513342272).

4040552550400 is an abundant number, since it is smaller than the sum of its proper divisors (6360474134144).

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

4040552550400 is a wasteful number, since it uses less digits than its factorization.

4040552550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13905 (or 13878 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 34.

The spelling of 4040552550400 in words is "four trillion, forty billion, five hundred fifty-two million, five hundred fifty thousand, four hundred".