1014530554400 has 144 divisors (see below), whose sum is σ = 2712649691808. Its totient is φ = 367449600000.

The previous prime is 1014530554399. The next prime is 1014530554423. The reversal of 1014530554400 is 44550354101.

It is a super-2 number, since 2×1014530554400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 1979144 + ... + 2438456.

It is an arithmetic number, because the mean of its divisors is an integer number (18837845082).

Almost surely, 2^{1014530554400} is an apocalyptic number.

1014530554400 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 1014530554400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356324845904).

1014530554400 is an abundant number, since it is smaller than the sum of its proper divisors (1698119137408).

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

1014530554400 is a wasteful number, since it uses less digits than its factorization.

1014530554400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459595 (or 459582 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The spelling of 1014530554400 in words is "one trillion, fourteen billion, five hundred thirty million, five hundred fifty-four thousand, four hundred".