7401040400 has 60 divisors (see below), whose sum is σ = 19148782212. Its totient is φ = 2732689920.

The previous prime is 7401040399. The next prime is 7401040481. The reversal of 7401040400 is 40401047.

It can be written as a sum of positive squares in 6 ways, for example, as 2498800144 + 4902240256 = 49988^2 + 70016^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 706439 + ... + 716838.

Almost surely, 2^7401040400 is an apocalyptic number.

It is an amenable number.

7401040400 is an abundant number, since it is smaller than the sum of its proper divisors (11747741812).

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

7401040400 is a wasteful number, since it uses less digits than its factorization.

7401040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423308 (or 1423297 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 7401040400 is about 86029.2996600577. The cubic root of 7401040400 is about 1948.7864814304.

Adding to 7401040400 its reverse (40401047), we get a palindrome (7441441447).

The spelling of 7401040400 in words is "seven billion, four hundred one million, forty thousand, four hundred".