1545660461400 has 576 divisors, whose sum is σ = 5735257920000. Its totient is φ = 342734515200.

The previous prime is 1545660461393. The next prime is 1545660461417. The reversal of 1545660461400 is 41640665451.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39983281 + ... + 40021919.

It is an arithmetic number, because the mean of its divisors is an integer number (9957045000).

Almost surely, 2^{1545660461400} is an apocalyptic number.

1545660461400 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 1545660461400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2867628960000).

1545660461400 is an abundant number, since it is smaller than the sum of its proper divisors (4189597458600).

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

1545660461400 is a wasteful number, since it uses less digits than its factorization.

1545660461400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38728 (or 38708 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 1545660461400 in words is "one trillion, five hundred forty-five billion, six hundred sixty million, four hundred sixty-one thousand, four hundred".