40082880 has 112 divisors (see below), whose sum is σ = 130356864. Its totient is φ = 10429440.

The previous prime is 40082873. The next prime is 40082891. The reversal of 40082880 is 8828004.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40795 + ... + 41765.

Almost surely, 2^40082880 is an apocalyptic number.

40082880 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 40082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65178432).

40082880 is an abundant number, since it is smaller than the sum of its proper divisors (90273984).

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

40082880 is a wasteful number, since it uses less digits than its factorization.

40082880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 40082880 is about 6331.1041691004. The cubic root of 40082880 is about 342.2312310616.

The spelling of 40082880 in words is "forty million, eighty-two thousand, eight hundred eighty".