40141920 has 192 divisors, whose sum is σ = 155796480. Its totient is φ = 8460288.

The previous prime is 40141903. The next prime is 40141921. The reversal of 40141920 is 2914104.

It is a super-2 number, since 2×40141920² = 3222747482572800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40141921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43221 + ... + 44139.

It is an arithmetic number, because the mean of its divisors is an integer number (811440).

Almost surely, 2^40141920 is an apocalyptic number.

40141920 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 40141920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77898240).

40141920 is an abundant number, since it is smaller than the sum of its proper divisors (115654560).

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

40141920 is a wasteful number, since it uses less digits than its factorization.

40141920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 40141920 is about 6335.7651471626. The cubic root of 40141920 is about 342.3991782378.

The spelling of 40141920 in words is "forty million, one hundred forty-one thousand, nine hundred twenty".