7413940800 has 336 divisors, whose sum is σ = 30888757120. Its totient is φ = 1694545920.

The previous prime is 7413940789. The next prime is 7413940801. The reversal of 7413940800 is 80493147.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7413940801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 290142 + ... + 314658.

Almost surely, 2^7413940800 is an apocalyptic number.

7413940800 is a gapful number since it is divisible by the number (70) 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 7413940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15444378560).

7413940800 is an abundant number, since it is smaller than the sum of its proper divisors (23474816320).

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

7413940800 is a wasteful number, since it uses less digits than its factorization.

7413940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24555 (or 24534 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 7413940800 is about 86104.2437978524. The cubic root of 7413940800 is about 1949.9181030694.

The spelling of 7413940800 in words is "seven billion, four hundred thirteen million, nine hundred forty thousand, eight hundred".