40739400 has 144 divisors (see below), whose sum is σ = 147425460. Its totient is φ = 10022400.

The previous prime is 40739393. The next prime is 40739443. The reversal of 40739400 is 493704.

It can be written as a sum of positive squares in 6 ways, for example, as 213444 + 40525956 = 462^2 + 6366^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 22530 + ... + 24270.

Almost surely, 2^40739400 is an apocalyptic number.

40739400 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 40739400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73712730).

40739400 is an abundant number, since it is smaller than the sum of its proper divisors (106686060).

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

40739400 is a wasteful number, since it uses less digits than its factorization.

40739400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776 (or 1764 counting only the distinct ones).

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

The square root of 40739400 is about 6382.7423573257. The cubic root of 40739400 is about 344.0895971774.

The spelling of 40739400 in words is "forty million, seven hundred thirty-nine thousand, four hundred".