40743166464 has 960 divisors, whose sum is σ = 161365171968. Its totient is φ = 9634775040.

The previous prime is 40743166397. The next prime is 40743166481. The reversal of 40743166464 is 46466134704.

40743166464 is a `hidden beast` number, since 407 + 43 + 166 + 46 + 4 = 666.

It is a super-2 number, since 2×40743166464² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 558125532 + ... + 558125604.

Almost surely, 2^40743166464 is an apocalyptic number.

40743166464 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 40743166464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80682585984).

40743166464 is an abundant number, since it is smaller than the sum of its proper divisors (120622005504).

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

40743166464 is a wasteful number, since it uses less digits than its factorization.

40743166464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 40743166464 in words is "forty billion, seven hundred forty-three million, one hundred sixty-six thousand, four hundred sixty-four".