1460120991700 has 288 divisors, whose sum is σ = 3915839870208. Its totient is φ = 461196288000.

The previous prime is 1460120991689. The next prime is 1460120991757. The reversal of 1460120991700 is 71990210641.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153160134 + ... + 153169666.

It is an arithmetic number, because the mean of its divisors is an integer number (13596666216).

Almost surely, 2^{1460120991700} is an apocalyptic number.

1460120991700 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 1460120991700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957919935104).

1460120991700 is an abundant number, since it is smaller than the sum of its proper divisors (2455718878508).

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

1460120991700 is a wasteful number, since it uses less digits than its factorization.

1460120991700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9843 (or 9836 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 40.

The spelling of 1460120991700 in words is "one trillion, four hundred sixty billion, one hundred twenty million, nine hundred ninety-one thousand, seven hundred".