1460195942400 has 2016 divisors, whose sum is σ = 6097612623648. Its totient is φ = 343985356800.

The previous prime is 1460195942383. The next prime is 1460195942411. The reversal of 1460195942400 is 42495910641.

1460195942400 is a `hidden beast` number, since 1 + 4 + 6 + 0 + 19 + 594 + 2 + 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23937638370 + ... + 23937638430.

Almost surely, 2^{1460195942400} is an apocalyptic number.

1460195942400 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 1460195942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048806311824).

1460195942400 is an abundant number, since it is smaller than the sum of its proper divisors (4637416681248).

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

1460195942400 is an equidigital number, since it uses as much as digits as its factorization.

1460195942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 1460195942400 in words is "one trillion, four hundred sixty billion, one hundred ninety-five million, nine hundred forty-two thousand, four hundred".