1145900714400 has 864 divisors, whose sum is σ = 4541121224640. Its totient is φ = 281962736640.

The previous prime is 1145900714369. The next prime is 1145900714401. The reversal of 1145900714400 is 44170095411.

1145900714400 is a `hidden beast` number, since 1 + 14 + 590 + 0 + 7 + 14 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145900714401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 427095459 + ... + 427098141.

Almost surely, 2^{1145900714400} is an apocalyptic number.

1145900714400 is a gapful number since it is divisible by the number (10) 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 1145900714400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2270560612320).

1145900714400 is an abundant number, since it is smaller than the sum of its proper divisors (3395220510240).

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

1145900714400 is an equidigital number, since it uses as much as digits as its factorization.

1145900714400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2757 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 1145900714400 in words is "one trillion, one hundred forty-five billion, nine hundred million, seven hundred fourteen thousand, four hundred".