1401940736000 has 768 divisors, whose sum is σ = 4222344672000. Its totient is φ = 454439731200.

The previous prime is 1401940735973. The next prime is 1401940736099. The reversal of 1401940736000 is 6370491041.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2754303746 + ... + 2754304254.

It is an arithmetic number, because the mean of its divisors is an integer number (5497844625).

Almost surely, 2^{1401940736000} is an apocalyptic number.

1401940736000 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 1401940736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2111172336000).

1401940736000 is an abundant number, since it is smaller than the sum of its proper divisors (2820403936000).

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

1401940736000 is an equidigital number, since it uses as much as digits as its factorization.

1401940736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The spelling of 1401940736000 in words is "one trillion, four hundred one billion, nine hundred forty million, seven hundred thirty-six thousand".