40079400 has 96 divisors (see below), whose sum is σ = 126227040. Its totient is φ = 10517760.

The previous prime is 40079371. The next prime is 40079437. The reversal of 40079400 is 497004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39702 + ... + 40698.

It is an arithmetic number, because the mean of its divisors is an integer number (1314865).

Almost surely, 2^40079400 is an apocalyptic number.

40079400 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 40079400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63113520).

40079400 is an abundant number, since it is smaller than the sum of its proper divisors (86147640).

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

40079400 is a wasteful number, since it uses less digits than its factorization.

40079400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 40079400 is about 6330.8293295586. The cubic root of 40079400 is about 342.2213265907.

It can be divided in two parts, 400 and 79400, that added together give a triangular number (79800 = T₃₉₉).

The spelling of 40079400 in words is "forty million, seventy-nine thousand, four hundred".