7315142400 has 540 divisors, whose sum is σ = 27509353872. Its totient is φ = 1917665280.

The previous prime is 7315142389. The next prime is 7315142407. The reversal of 7315142400 is 42415137.

7315142400 is a `hidden beast` number, since 73 + 151 + 42 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×7315142400² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7315142407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 53395132 + ... + 53395268.

Almost surely, 2^7315142400 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 7315142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13754676936).

7315142400 is an abundant number, since it is smaller than the sum of its proper divisors (20194211472).

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

7315142400 is a wasteful number, since it uses less digits than its factorization.

7315142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 7315142400 is about 85528.6057410034. The cubic root of 7315142400 is about 1941.2177850225.

Adding to 7315142400 its reverse (42415137), we get a palindrome (7357557537).

The spelling of 7315142400 in words is "seven billion, three hundred fifteen million, one hundred forty-two thousand, four hundred".