40696038144 has 432 divisors, whose sum is σ = 128565964800. Its totient is φ = 12819824640.

The previous prime is 40696038143. The next prime is 40696038211. The reversal of 40696038144 is 44183069604.

It is a tau number, because it is divible by the number of its divisors (432).

It is a self number, because there is not a number n which added to its sum of digits gives 40696038144.

It is not an unprimeable number, because it can be changed into a prime (40696038143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90636832 + ... + 90637280.

It is an arithmetic number, because the mean of its divisors is an integer number (297606400).

Almost surely, 2^40696038144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40696038144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64282982400).

40696038144 is an abundant number, since it is smaller than the sum of its proper divisors (87869926656).

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

40696038144 is an equidigital number, since it uses as much as digits as its factorization.

40696038144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 40696038144 in words is "forty billion, six hundred ninety-six million, thirty-eight thousand, one hundred forty-four".