40379040 has 192 divisors, whose sum is σ = 152409600. Its totient is φ = 9925632.

The previous prime is 40379023. The next prime is 40379041. The reversal of 40379040 is 4097304.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 40378995 and 40379013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40379041) 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, 55801 + ... + 56519.

It is an arithmetic number, because the mean of its divisors is an integer number (793800).

Almost surely, 2^40379040 is an apocalyptic number.

40379040 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 40379040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76204800).

40379040 is an abundant number, since it is smaller than the sum of its proper divisors (112030560).

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

40379040 is a wasteful number, since it uses less digits than its factorization.

40379040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 40379040 is about 6354.4504089654. The cubic root of 40379040 is about 343.0720438445.

The spelling of 40379040 in words is "forty million, three hundred seventy-nine thousand, forty".