7145107754400 has 2592 divisors, whose sum is σ = 32784372915840. Its totient is φ = 1447649280000.

The previous prime is 7145107754381. The next prime is 7145107754471. The reversal of 7145107754400 is 44577015417.

7145107754400 is a `hidden beast` number, since 7 + 14 + 510 + 77 + 54 + 4 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 47318594325 + ... + 47318594475.

It is an arithmetic number, because the mean of its divisors is an integer number (12648292020).

Almost surely, 2^{7145107754400} is an apocalyptic number.

7145107754400 is a gapful number since it is divisible by the number (70) 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 7145107754400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16392186457920).

7145107754400 is an abundant number, since it is smaller than the sum of its proper divisors (25639265161440).

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

7145107754400 is a wasteful number, since it uses less digits than its factorization.

7145107754400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 45.

The spelling of 7145107754400 in words is "seven trillion, one hundred forty-five billion, one hundred seven million, seven hundred fifty-four thousand, four hundred".