40659363840 has 192 divisors, whose sum is σ = 132288811200. Its totient is φ = 10658250752.

The previous prime is 40659363793. The next prime is 40659363881. The reversal of 40659363840 is 4836395604.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 40659363840.

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, 1801264 + ... + 1823696.

It is an arithmetic number, because the mean of its divisors is an integer number (689004225).

Almost surely, 2^40659363840 is an apocalyptic number.

40659363840 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 40659363840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66144405600).

40659363840 is an abundant number, since it is smaller than the sum of its proper divisors (91629447360).

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

40659363840 is a wasteful number, since it uses less digits than its factorization.

40659363840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22522 (or 22502 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 40659363840 in words is "forty billion, six hundred fifty-nine million, three hundred sixty-three thousand, eight hundred forty".