40172267520 has 1920 divisors, whose sum is σ = 195217102080. Its totient is φ = 7644119040.

The previous prime is 40172267519. The next prime is 40172267533. The reversal of 40172267520 is 2576227104.

It is a happy number.

40172267520 is a `hidden beast` number, since 4 + 0 + 1 + 72 + 2 + 67 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×40172267520² (a number of 22 digits) contains 22 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 159 ways as a sum of consecutive naturals, for example, 1085736942 + ... + 1085736978.

It is an arithmetic number, because the mean of its divisors is an integer number (101675574).

Almost surely, 2^40172267520 is an apocalyptic number.

40172267520 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 40172267520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97608551040).

40172267520 is an abundant number, since it is smaller than the sum of its proper divisors (155044834560).

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

40172267520 is a wasteful number, since it uses less digits than its factorization.

40172267520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 40172267520 in words is "forty billion, one hundred seventy-two million, two hundred sixty-seven thousand, five hundred twenty".