40650621264 has 240 divisors, whose sum is σ = 125646243840. Its totient is φ = 12166640640.

The previous prime is 40650621251. The next prime is 40650621281. The reversal of 40650621264 is 46212605604.

40650621264 is a `hidden beast` number, since 4 + 0 + 6 + 5 + 0 + 621 + 26 + 4 = 666.

40650621264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×40650621264³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79863442 + ... + 79863950.

It is an arithmetic number, because the mean of its divisors is an integer number (523526016).

Almost surely, 2^40650621264 is an apocalyptic number.

40650621264 is a gapful number since it is divisible by the number (44) 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 40650621264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62823121920).

40650621264 is an abundant number, since it is smaller than the sum of its proper divisors (84995622576).

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

40650621264 is a wasteful number, since it uses less digits than its factorization.

40650621264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 40650621264 in words is "forty billion, six hundred fifty million, six hundred twenty-one thousand, two hundred sixty-four".