5405555002400 has 144 divisors (see below), whose sum is σ = 15114079137024. Its totient is φ = 1849329377280.

The previous prime is 5405555002391. The next prime is 5405555002433. The reversal of 5405555002400 is 42005555045.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 1550384 + ... + 3635216.

It is an arithmetic number, because the mean of its divisors is an integer number (104958882896).

Almost surely, 2^{5405555002400} is an apocalyptic number.

5405555002400 is a gapful number since it is divisible by the number (50) 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 5405555002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7557039568512).

5405555002400 is an abundant number, since it is smaller than the sum of its proper divisors (9708524134624).

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

5405555002400 is a wasteful number, since it uses less digits than its factorization.

5405555002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2085323 (or 2085310 counting only the distinct ones).

The product of its (nonzero) digits is 100000, while the sum is 35.

The spelling of 5405555002400 in words is "five trillion, four hundred five billion, five hundred fifty-five million, two thousand, four hundred".