101078745862440 has 1024 divisors, whose sum is σ = 337852145664000. Its totient is φ = 24094860410880.

The previous prime is 101078745862399. The next prime is 101078745862483. The reversal of 101078745862440 is 44268547870101.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 281556394981 + ... + 281556395339.

It is an arithmetic number, because the mean of its divisors is an integer number (329933736000).

Almost surely, 2^{101078745862440} is an apocalyptic number.

101078745862440 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 101078745862440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168926072832000).

101078745862440 is an abundant number, since it is smaller than the sum of its proper divisors (236773399801560).

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

101078745862440 is a wasteful number, since it uses less digits than its factorization.

101078745862440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 57.

The spelling of 101078745862440 in words is "one hundred one trillion, seventy-eight billion, seven hundred forty-five million, eight hundred sixty-two thousand, four hundred forty".