1053514430400 has 168 divisors, whose sum is σ = 3467453033584. Its totient is φ = 280039219200.

The previous prime is 1053514430393. The next prime is 1053514430443. The reversal of 1053514430400 is 40344153501.

It is a super-2 number, since 2×1053514430400² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 1151790 + ... + 1853010.

Almost surely, 2^{1053514430400} is an apocalyptic number.

1053514430400 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 1053514430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733726516792).

1053514430400 is an abundant number, since it is smaller than the sum of its proper divisors (2413938603184).

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

1053514430400 is a wasteful number, since it uses less digits than its factorization.

1053514430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701559 (or 701544 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 1053514430400 its reverse (40344153501), we get a palindrome (1093858583901).

The spelling of 1053514430400 in words is "one trillion, fifty-three billion, five hundred fourteen million, four hundred thirty thousand, four hundred".