101293414440 has 128 divisors (see below), whose sum is σ = 315131904000. Its totient is φ = 26016012288.

The previous prime is 101293414381. The next prime is 101293414451. The reversal of 101293414440 is 44414392101.

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, 1387737 + ... + 1458903.

It is an arithmetic number, because the mean of its divisors is an integer number (2461968000).

Almost surely, 2^101293414440 is an apocalyptic number.

101293414440 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 101293414440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157565952000).

101293414440 is an abundant number, since it is smaller than the sum of its proper divisors (213838489560).

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

101293414440 is a wasteful number, since it uses less digits than its factorization.

101293414440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71619 (or 71615 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 101293414440 in words is "one hundred one billion, two hundred ninety-three million, four hundred fourteen thousand, four hundred forty".