1466401727700 has 1728 divisors, whose sum is σ = 6243967027200. Its totient is φ = 288222105600.

The previous prime is 1466401727603. The next prime is 1466401727729. The reversal of 1466401727700 is 77271046641.

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 575 ways as a sum of consecutive naturals, for example, 4430216535 + ... + 4430216865.

Almost surely, 2^{1466401727700} is an apocalyptic number.

1466401727700 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 1466401727700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3121983513600).

1466401727700 is an abundant number, since it is smaller than the sum of its proper divisors (4777565299500).

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

1466401727700 is a wasteful number, since it uses less digits than its factorization.

1466401727700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 1466401727700 in words is "one trillion, four hundred sixty-six billion, four hundred one million, seven hundred twenty-seven thousand, seven hundred".