10140409440 has 1152 divisors, whose sum is σ = 45174205440. Its totient is φ = 2096160768.

The previous prime is 10140409351. The next prime is 10140409453. The reversal of 10140409440 is 4490404101.

It is a super-2 number, since 2×10140409440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 191328454 + ... + 191328506.

It is an arithmetic number, because the mean of its divisors is an integer number (39213720).

Almost surely, 2^10140409440 is an apocalyptic number.

10140409440 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 10140409440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22587102720).

10140409440 is an abundant number, since it is smaller than the sum of its proper divisors (35033796000).

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

10140409440 is a wasteful number, since it uses less digits than its factorization.

10140409440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 10140409440 in words is "ten billion, one hundred forty million, four hundred nine thousand, four hundred forty".