1101135260400 has 240 divisors, whose sum is σ = 4035796287744. Its totient is φ = 251401328640.

The previous prime is 1101135260297. The next prime is 1101135260413. The reversal of 1101135260400 is 40625311011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 7342972 + ... + 7491428.

Almost surely, 2^{1101135260400} is an apocalyptic number.

1101135260400 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 1101135260400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2017898143872).

1101135260400 is an abundant number, since it is smaller than the sum of its proper divisors (2934661027344).

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

1101135260400 is a wasteful number, since it uses less digits than its factorization.

1101135260400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149368 (or 149357 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The spelling of 1101135260400 in words is "one trillion, one hundred one billion, one hundred thirty-five million, two hundred sixty thousand, four hundred".