101140401440 has 96 divisors (see below), whose sum is σ = 257448708720. Its totient is φ = 37326127104.

The previous prime is 101140401407. The next prime is 101140401491. The reversal of 101140401440 is 44104041101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 53495989264 + 47644412176 = 231292^2 + 218276^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4767176 + ... + 4788344.

Almost surely, 2^101140401440 is an apocalyptic number.

101140401440 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 101140401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128724354360).

101140401440 is an abundant number, since it is smaller than the sum of its proper divisors (156308307280).

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

101140401440 is a wasteful number, since it uses less digits than its factorization.

101140401440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23494 (or 23486 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 101140401440 its reverse (44104041101), we get a palindrome (145244442541).

The spelling of 101140401440 in words is "one hundred one billion, one hundred forty million, four hundred one thousand, four hundred forty".