7416551828400 has 480 divisors, whose sum is σ = 28198936485888. Its totient is φ = 1642534502400.

The previous prime is 7416551828393. The next prime is 7416551828401. The reversal of 7416551828400 is 48281556147.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (7416551828401) 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, 16422417 + ... + 16867983.

Almost surely, 2^{7416551828400} 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 7416551828400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14099468242944).

7416551828400 is an abundant number, since it is smaller than the sum of its proper divisors (20782384657488).

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

7416551828400 is a wasteful number, since it uses less digits than its factorization.

7416551828400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445709 (or 445698 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 51.

The spelling of 7416551828400 in words is "seven trillion, four hundred sixteen billion, five hundred fifty-one million, eight hundred twenty-eight thousand, four hundred".