40182838080 has 672 divisors, whose sum is σ = 164117975040. Its totient is φ = 8235601920.

The previous prime is 40182838063. The next prime is 40182838097. The reversal of 40182838080 is 8083828104.

It is an interprime number because it is at equal distance from previous prime (40182838063) and next prime (40182838097).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×40182838080² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 40877269 + ... + 40878251.

Almost surely, 2^40182838080 is an apocalyptic number.

40182838080 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 40182838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82058987520).

40182838080 is an abundant number, since it is smaller than the sum of its proper divisors (123935136960).

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

40182838080 is a wasteful number, since it uses less digits than its factorization.

40182838080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The spelling of 40182838080 in words is "forty billion, one hundred eighty-two million, eight hundred thirty-eight thousand, eighty".