101495928240 has 480 divisors, whose sum is σ = 434181496320. Its totient is φ = 20684906496.

The previous prime is 101495928227. The next prime is 101495928299. The reversal of 101495928240 is 42829594101.

It is a happy number.

101495928240 is a `hidden beast` number, since 1 + 0 + 14 + 9 + 592 + 8 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1596747 + ... + 1659093.

It is an arithmetic number, because the mean of its divisors is an integer number (904544784).

Almost surely, 2^101495928240 is an apocalyptic number.

101495928240 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 101495928240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217090748160).

101495928240 is an abundant number, since it is smaller than the sum of its proper divisors (332685568080).

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

101495928240 is a wasteful number, since it uses less digits than its factorization.

101495928240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62409 (or 62400 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 101495928240 in words is "one hundred one billion, four hundred ninety-five million, nine hundred twenty-eight thousand, two hundred forty".