40507858944 has 896 divisors, whose sum is σ = 154760371200. Its totient is φ = 10319560704.

The previous prime is 40507858901. The next prime is 40507858949. The reversal of 40507858944 is 44985870504.

It is a happy number.

40507858944 is a `hidden beast` number, since 4 + 0 + 50 + 7 + 8 + 589 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40507858949) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2131992567 + ... + 2131992585.

Almost surely, 2^40507858944 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 40507858944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77380185600).

40507858944 is an abundant number, since it is smaller than the sum of its proper divisors (114252512256).

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

40507858944 is an frugal number, since it uses more digits than its factorization.

40507858944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 40507858944 in words is "forty billion, five hundred seven million, eight hundred fifty-eight thousand, nine hundred forty-four".