1002045554400 has 288 divisors, whose sum is σ = 3561078826368. Its totient is φ = 242721740800.

The previous prime is 1002045554387. The next prime is 1002045554423. The reversal of 1002045554400 is 44555402001.

It is a super-4 number, since 4×1002045554400⁴ (a number of 49 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33697939 + ... + 33727661.

It is an arithmetic number, because the mean of its divisors is an integer number (12364857036).

Almost surely, 2^{1002045554400} is an apocalyptic number.

1002045554400 is a gapful number since it is divisible by the number (10) 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 1002045554400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780539413184).

1002045554400 is an abundant number, since it is smaller than the sum of its proper divisors (2559033271968).

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

1002045554400 is a wasteful number, since it uses less digits than its factorization.

1002045554400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31034 (or 31021 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 1002045554400 in words is "one trillion, two billion, forty-five million, five hundred fifty-four thousand, four hundred".