1401043198464 has 1600 divisors, whose sum is σ = 5545625057280. Its totient is φ = 345949470720.

The previous prime is 1401043198427. The next prime is 1401043198501. The reversal of 1401043198464 is 4648913401041.

1401043198464 is a `hidden beast` number, since 140 + 1 + 0 + 43 + 1 + 9 + 8 + 464 = 666.

It is an interprime number because it is at equal distance from previous prime (1401043198427) and next prime (1401043198501).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7335304609 + ... + 7335304799.

Almost surely, 2^{1401043198464} is an apocalyptic number.

1401043198464 is a gapful number since it is divisible by the number (14) 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 1401043198464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2772812528640).

1401043198464 is an abundant number, since it is smaller than the sum of its proper divisors (4144581858816).

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

1401043198464 is an equidigital number, since it uses as much as digits as its factorization.

1401043198464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 1401043198464 in words is "one trillion, four hundred one billion, forty-three million, one hundred ninety-eight thousand, four hundred sixty-four".