101416254442440 has 128 divisors (see below), whose sum is σ = 350367169489920. Its totient is φ = 23003905017600.

The previous prime is 101416254442387. The next prime is 101416254442513. The reversal of 101416254442440 is 44244452614101.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 101416254442392 and 101416254442401.

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, 460705366 + ... + 460925445.

It is an arithmetic number, because the mean of its divisors is an integer number (2737243511640).

Almost surely, 2^{101416254442440} is an apocalyptic number.

101416254442440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101416254442440 is an abundant number, since it is smaller than the sum of its proper divisors (248950915047480).

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

101416254442440 is a wasteful number, since it uses less digits than its factorization.

101416254442440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921630963 (or 921630959 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 42.

The spelling of 101416254442440 in words is "one hundred one trillion, four hundred sixteen billion, two hundred fifty-four million, four hundred forty-two thousand, four hundred forty".