101365460040 has 512 divisors, whose sum is σ = 358676398080. Its totient is φ = 22688612352.

The previous prime is 101365460011. The next prime is 101365460051. The reversal of 101365460040 is 40064563101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 117456649 + ... + 117457511.

It is an arithmetic number, because the mean of its divisors is an integer number (700539840).

Almost surely, 2^101365460040 is an apocalyptic number.

101365460040 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 101365460040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179338199040).

101365460040 is an abundant number, since it is smaller than the sum of its proper divisors (257310938040).

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

101365460040 is a wasteful number, since it uses less digits than its factorization.

101365460040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 101365460040 in words is "one hundred one billion, three hundred sixty-five million, four hundred sixty thousand, forty".