40936250880 has 1280 divisors, whose sum is σ = 180231321600. Its totient is φ = 8599633920.

The previous prime is 40936250843. The next prime is 40936250921. The reversal of 40936250880 is 8805263904.

40936250880 is a `hidden beast` number, since 4 + 0 + 9 + 3 + 62 + 508 + 80 = 666.

40936250880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×40936250880² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 560770524 + ... + 560770596.

It is an arithmetic number, because the mean of its divisors is an integer number (140805720).

Almost surely, 2^40936250880 is an apocalyptic number.

40936250880 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 40936250880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90115660800).

40936250880 is an abundant number, since it is smaller than the sum of its proper divisors (139295070720).

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

40936250880 is a wasteful number, since it uses less digits than its factorization.

40936250880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 40936250880 in words is "forty billion, nine hundred thirty-six million, two hundred fifty thousand, eight hundred eighty".