1545140966400 has 792 divisors, whose sum is σ = 5779206669600. Its totient is φ = 409026723840.

The previous prime is 1545140966393. The next prime is 1545140966419. The reversal of 1545140966400 is 46690415451.

1545140966400 is a `hidden beast` number, since 1 + 5 + 4 + 514 + 0 + 96 + 6 + 40 + 0 = 666.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 926898367 + ... + 926900033.

Almost surely, 2^{1545140966400} is an apocalyptic number.

1545140966400 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 1545140966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889603334800).

1545140966400 is an abundant number, since it is smaller than the sum of its proper divisors (4234065703200).

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

1545140966400 is a wasteful number, since it uses less digits than its factorization.

1545140966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1861 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 1545140966400 in words is "one trillion, five hundred forty-five billion, one hundred forty million, nine hundred sixty-six thousand, four hundred".