7442150400 has 660 divisors, whose sum is σ = 28593978028. Its totient is φ = 1911029760.

The previous prime is 7442150399. The next prime is 7442150423. The reversal of 7442150400 is 40512447.

7442150400 is a `hidden beast` number, since 7 + 44 + 215 + 0 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 26873856 + 7415276544 = 5184^2 + 86112^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 76723152 + ... + 76723248.

Almost surely, 2^7442150400 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 7442150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14296989014).

7442150400 is an abundant number, since it is smaller than the sum of its proper divisors (21151827628).

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

7442150400 is a wasteful number, since it uses less digits than its factorization.

7442150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 7442150400 is about 86267.8990123209. The cubic root of 7442150400 is about 1952.3880801455.

Adding to 7442150400 its reverse (40512447), we get a palindrome (7482662847).

The spelling of 7442150400 in words is "seven billion, four hundred forty-two million, one hundred fifty thousand, four hundred".