7139480400 has 480 divisors, whose sum is σ = 27609760640. Its totient is φ = 1741824000.

The previous prime is 7139480357. The next prime is 7139480407. The reversal of 7139480400 is 40849317.

It is a happy number.

7139480400 is a `hidden beast` number, since 7 + 139 + 480 + 40 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7139480407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29624280 + ... + 29624520.

Almost surely, 2^7139480400 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 7139480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13804880320).

7139480400 is an abundant number, since it is smaller than the sum of its proper divisors (20470280240).

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

7139480400 is a wasteful number, since it uses less digits than its factorization.

7139480400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 475 counting only the distinct ones).

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

The square root of 7139480400 is about 84495.4460311324. The cubic root of 7139480400 is about 1925.5532586389.

The spelling of 7139480400 in words is "seven billion, one hundred thirty-nine million, four hundred eighty thousand, four hundred".