40400364 has 48 divisors (see below), whose sum is σ = 103269600. Its totient is φ = 12235776.

The previous prime is 40400359. The next prime is 40400377. The reversal of 40400364 is 46300404.

It is a super-2 number, since 2×40400364² = 3264378822664992, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40400364.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2502 + ... + 9330.

It is an arithmetic number, because the mean of its divisors is an integer number (2151450).

Almost surely, 2^40400364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40400364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51634800).

40400364 is an abundant number, since it is smaller than the sum of its proper divisors (62869236).

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

40400364 is a wasteful number, since it uses less digits than its factorization.

40400364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6882 (or 6880 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 40400364 is about 6356.1280666771. The cubic root of 40400364 is about 343.1324248479.

Adding to 40400364 its reverse (46300404), we get a palindrome (86700768).

The spelling of 40400364 in words is "forty million, four hundred thousand, three hundred sixty-four".