101140411420440 has 128 divisors (see below), whose sum is σ = 385296805440000. Its totient is φ = 23117808322944.

The previous prime is 101140411420381. The next prime is 101140411420471. The reversal of 101140411420440 is 44024114041101.

101140411420440 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 4 + 0 + 411 + 4 + 204 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6689173090 + ... + 6689188209.

It is an arithmetic number, because the mean of its divisors is an integer number (3010131292500).

Almost surely, 2^{101140411420440} is an apocalyptic number.

101140411420440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101140411420440 is an abundant number, since it is smaller than the sum of its proper divisors (284156394019560).

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

101140411420440 is a wasteful number, since it uses less digits than its factorization.

101140411420440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13378361326 (or 13378361316 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 101140411420440 its reverse (44024114041101), we get a palindrome (145164525461541).

The spelling of 101140411420440 in words is "one hundred one trillion, one hundred forty billion, four hundred eleven million, four hundred twenty thousand, four hundred forty".