101431440200040 has 128 divisors (see below), whose sum is σ = 307128638044800. Its totient is φ = 26796513623040.

The previous prime is 101431440200021. The next prime is 101431440200053. The reversal of 101431440200040 is 40002044134101.

It is a super-2 number, since 2×101431440200040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 94334655 + ... + 95403825.

It is an arithmetic number, because the mean of its divisors is an integer number (2399442484725).

Almost surely, 2^{101431440200040} is an apocalyptic number.

101431440200040 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 101431440200040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153564319022400).

101431440200040 is an abundant number, since it is smaller than the sum of its proper divisors (205697197844760).

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

101431440200040 is a wasteful number, since it uses less digits than its factorization.

101431440200040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076547 (or 1076543 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 101431440200040 its reverse (40002044134101), we get a palindrome (141433484334141).

The spelling of 101431440200040 in words is "one hundred one trillion, four hundred thirty-one billion, four hundred forty million, two hundred thousand, forty".