40138176000 has 480 divisors, whose sum is σ = 144621199008. Its totient is φ = 9872179200.

The previous prime is 40138175969. The next prime is 40138176007. The reversal of 40138176000 is 67183104.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×40138176000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40138176007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32447382 + ... + 32448618.

Almost surely, 2^40138176000 is an apocalyptic number.

40138176000 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 40138176000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72310599504).

40138176000 is an abundant number, since it is smaller than the sum of its proper divisors (104483023008).

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

40138176000 is a wasteful number, since it uses less digits than its factorization.

40138176000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 40138176000 in words is "forty billion, one hundred thirty-eight million, one hundred seventy-six thousand".