7345157414400 has 1440 divisors, whose sum is σ = 30847975915680. Its totient is φ = 1701382717440.

The previous prime is 7345157414333. The next prime is 7345157414443. The reversal of 7345157414400 is 44147515437.

7345157414400 is a `hidden beast` number, since 7 + 3 + 45 + 157 + 414 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1298416372 + ... + 1298422028.

It is an arithmetic number, because the mean of its divisors is an integer number (21422205497).

Almost surely, 2^{7345157414400} 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 7345157414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15423987957840).

7345157414400 is an abundant number, since it is smaller than the sum of its proper divisors (23502818501280).

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

7345157414400 is a wasteful number, since it uses less digits than its factorization.

7345157414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5741 (or 5697 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 7345157414400 in words is "seven trillion, three hundred forty-five billion, one hundred fifty-seven million, four hundred fourteen thousand, four hundred".