40101765120 has 784 divisors, whose sum is σ = 154713188160. Its totient is φ = 9937354752.

The previous prime is 40101765113. The next prime is 40101765157. The reversal of 40101765120 is 2156710104.

It is a happy number.

40101765120 is a `hidden beast` number, since 4 + 0 + 1 + 0 + 1 + 7 + 651 + 2 + 0 = 666.

It is a super-2 number, since 2×40101765120² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 507617241 + ... + 507617319.

Almost surely, 2^40101765120 is an apocalyptic number.

40101765120 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 40101765120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77356594080).

40101765120 is an abundant number, since it is smaller than the sum of its proper divisors (114611423040).

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

40101765120 is an frugal number, since it uses more digits than its factorization.

40101765120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 40101765120 in words is "forty billion, one hundred one million, seven hundred sixty-five thousand, one hundred twenty".