40920610320 has 400 divisors, whose sum is σ = 144510125760. Its totient is φ = 10730880000.

The previous prime is 40920610277. The next prime is 40920610349. The reversal of 40920610320 is 2301602904.

40920610320 is a `hidden beast` number, since 4 + 0 + 9 + 20 + 610 + 3 + 20 = 666.

It is a super-2 number, since 2×40920610320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 163030195 + ... + 163030445.

Almost surely, 2^40920610320 is an apocalyptic number.

40920610320 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 40920610320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72255062880).

40920610320 is an abundant number, since it is smaller than the sum of its proper divisors (103589515440).

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

40920610320 is a wasteful number, since it uses less digits than its factorization.

40920610320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 40920610320 in words is "forty billion, nine hundred twenty million, six hundred ten thousand, three hundred twenty".