7409984400 has 360 divisors, whose sum is σ = 31650265920. Its totient is φ = 1563356160.

The previous prime is 7409984383. The next prime is 7409984453. The reversal of 7409984400 is 44899047.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 316291 + ... + 338909.

Almost surely, 2^7409984400 is an apocalyptic number.

7409984400 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 7409984400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15825132960).

7409984400 is an abundant number, since it is smaller than the sum of its proper divisors (24240281520).

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

7409984400 is a wasteful number, since it uses less digits than its factorization.

7409984400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22663 (or 22649 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 7409984400 is about 86081.2662546271. The cubic root of 7409984400 is about 1949.5711877608.

The spelling of 7409984400 in words is "seven billion, four hundred nine million, nine hundred eighty-four thousand, four hundred".