40861920 has 192 divisors, whose sum is σ = 143700480. Its totient is φ = 9676800.

The previous prime is 40861889. The next prime is 40861921. The reversal of 40861920 is 2916804.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 (40861921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374826 + ... + 374934.

It is an arithmetic number, because the mean of its divisors is an integer number (748440).

Almost surely, 2^40861920 is an apocalyptic number.

40861920 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 40861920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71850240).

40861920 is an abundant number, since it is smaller than the sum of its proper divisors (102838560).

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

40861920 is a wasteful number, since it uses less digits than its factorization.

40861920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 40861920 is about 6392.3329074760. The cubic root of 40861920 is about 344.4341912391.

Subtracting from 40861920 its reverse (2916804), we obtain a triangular number (37945116 = T₈₇₁₁).

It can be divided in two parts, 4086 and 1920, that added together give a palindrome (6006).

The spelling of 40861920 in words is "forty million, eight hundred sixty-one thousand, nine hundred twenty".