40167146880 has 192 divisors, whose sum is σ = 158516935200. Its totient is φ = 9181052928.

The previous prime is 40167146879. The next prime is 40167146891. The reversal of 40167146880 is 8864176104.

40167146880 is a `hidden beast` number, since 40 + 1 + 6 + 71 + 468 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×40167146880² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 457785 + ... + 538424.

Almost surely, 2^40167146880 is an apocalyptic number.

40167146880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40167146880 is an abundant number, since it is smaller than the sum of its proper divisors (118349788320).

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

40167146880 is a wasteful number, since it uses less digits than its factorization.

40167146880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996241 (or 996226 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 40167146880 in words is "forty billion, one hundred sixty-seven million, one hundred forty-six thousand, eight hundred eighty".