40561884 has 120 divisors (see below), whose sum is σ = 121968000. Its totient is φ = 11625120.

The previous prime is 40561877. The next prime is 40561891. The reversal of 40561884 is 48816504.

40561884 = 101³ + 102³ + ... + 127³.

It is an interprime number because it is at equal distance from previous prime (40561877) and next prime (40561891).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 67417 + ... + 68015.

It is an arithmetic number, because the mean of its divisors is an integer number (1016400).

Almost surely, 2^40561884 is an apocalyptic number.

40561884 is a gapful number since it is divisible by the number (44) 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 40561884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60984000).

40561884 is an abundant number, since it is smaller than the sum of its proper divisors (81406116).

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

40561884 is a wasteful number, since it uses less digits than its factorization.

40561884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 40561884 is about 6368.8212410147. The cubic root of 40561884 is about 343.5890960891.

The spelling of 40561884 in words is "forty million, five hundred sixty-one thousand, eight hundred eighty-four".