40064672240 has 80 divisors (see below), whose sum is σ = 98400547200. Its totient is φ = 15128591616.

The previous prime is 40064672203. The next prime is 40064672243. The reversal of 40064672240 is 4227646004.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 40064672240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40064672243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383591 + ... + 476729.

It is an arithmetic number, because the mean of its divisors is an integer number (1230006840).

Almost surely, 2^40064672240 is an apocalyptic number.

40064672240 is a gapful number since it is divisible by the number (40) 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 40064672240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49200273600).

40064672240 is an abundant number, since it is smaller than the sum of its proper divisors (58335874960).

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

40064672240 is a wasteful number, since it uses less digits than its factorization.

40064672240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93454 (or 93448 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 35.

The spelling of 40064672240 in words is "forty billion, sixty-four million, six hundred seventy-two thousand, two hundred forty".