1053062410400 has 1152 divisors, whose sum is σ = 3603369369600. Its totient is φ = 296013312000.

The previous prime is 1053062410333. The next prime is 1053062410409. The reversal of 1053062410400 is 40142603501.

It is a super-2 number, since 2×1053062410400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 1053062410400.

It is not an unprimeable number, because it can be changed into a prime (1053062410409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1844242115 + ... + 1844242685.

It is an arithmetic number, because the mean of its divisors is an integer number (3127924800).

Almost surely, 2^{1053062410400} is an apocalyptic number.

1053062410400 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 1053062410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801684684800).

1053062410400 is an abundant number, since it is smaller than the sum of its proper divisors (2550306959200).

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

1053062410400 is a wasteful number, since it uses less digits than its factorization.

1053062410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The spelling of 1053062410400 in words is "one trillion, fifty-three billion, sixty-two million, four hundred ten thousand, four hundred".