1201862966400 has 480 divisors, whose sum is σ = 4668586124400. Its totient is φ = 303627294720.

The previous prime is 1201862966399. The next prime is 1201862966417. The reversal of 1201862966400 is 46692681021.

1201862966400 is a `hidden beast` number, since 1 + 2 + 0 + 18 + 629 + 6 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4802779 + ... + 5046821.

Almost surely, 2^{1201862966400} is an apocalyptic number.

1201862966400 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 1201862966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2334293062200).

1201862966400 is an abundant number, since it is smaller than the sum of its proper divisors (3466723158000).

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

1201862966400 is a wasteful number, since it uses less digits than its factorization.

1201862966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244098 (or 244072 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1201862966400 in words is "one trillion, two hundred one billion, eight hundred sixty-two million, nine hundred sixty-six thousand, four hundred".