40167893376 has 288 divisors, whose sum is σ = 128669682960. Its totient is φ = 11956377600.

The previous prime is 40167893371. The next prime is 40167893429. The reversal of 40167893376 is 67339876104.

40167893376 is a `hidden beast` number, since 401 + 67 + 89 + 33 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×40167893376² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40167893371) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14390541 + ... + 14393331.

Almost surely, 2^40167893376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40167893376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64334841480).

40167893376 is an abundant number, since it is smaller than the sum of its proper divisors (88501789584).

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

40167893376 is a wasteful number, since it uses less digits than its factorization.

40167893376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2886 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 40167893376 in words is "forty billion, one hundred sixty-seven million, eight hundred ninety-three thousand, three hundred seventy-six".