7345400434272 has 192 divisors, whose sum is σ = 21844105920000. Its totient is φ = 2400531254784.

The previous prime is 7345400434247. The next prime is 7345400434349. The reversal of 7345400434272 is 2724340045437.

7345400434272 is a `hidden beast` number, since 7 + 3 + 4 + 540 + 0 + 4 + 34 + 2 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64005679 + ... + 64120337.

It is an arithmetic number, because the mean of its divisors is an integer number (113771385000).

Almost surely, 2^{7345400434272} is an apocalyptic number.

7345400434272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7345400434272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10922052960000).

7345400434272 is an abundant number, since it is smaller than the sum of its proper divisors (14498705485728).

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

7345400434272 is a wasteful number, since it uses less digits than its factorization.

7345400434272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116130 (or 116116 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 45.

The spelling of 7345400434272 in words is "seven trillion, three hundred forty-five billion, four hundred million, four hundred thirty-four thousand, two hundred seventy-two".