101465440560 has 600 divisors, whose sum is σ = 390373951968. Its totient is φ = 24406272000.

The previous prime is 101465440553. The next prime is 101465440577. The reversal of 101465440560 is 65044564101.

101465440560 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 6 + 54 + 40 + 560 = 666.

It is a super-2 number, since 2×101465440560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 118395652 + ... + 118396508.

Almost surely, 2^101465440560 is an apocalyptic number.

101465440560 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 101465440560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195186975984).

101465440560 is an abundant number, since it is smaller than the sum of its proper divisors (288908511408).

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

101465440560 is a wasteful number, since it uses less digits than its factorization.

101465440560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 101465440560 in words is "one hundred one billion, four hundred sixty-five million, four hundred forty thousand, five hundred sixty".