1011141012400 has 30 divisors (see below), whose sum is σ = 2429266283252. Its totient is φ = 404456404800.

The previous prime is 1011141012397. The next prime is 1011141012407. The reversal of 1011141012400 is 42101411101.

It is a super-2 number, since 2×1011141012400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1011141012407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1263925866 + ... + 1263926665.

Almost surely, 2^{1011141012400} is an apocalyptic number.

1011141012400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011141012400 is an abundant number, since it is smaller than the sum of its proper divisors (1418125270852).

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

1011141012400 is a wasteful number, since it uses less digits than its factorization.

1011141012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2527852549 (or 2527852538 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1011141012400 its reverse (42101411101), we get a palindrome (1053242423501).

The spelling of 1011141012400 in words is "one trillion, eleven billion, one hundred forty-one million, twelve thousand, four hundred".