1401642337144 has 128 divisors (see below), whose sum is σ = 3094867440000. Its totient is φ = 594824036352.

The previous prime is 1401642337127. The next prime is 1401642337177. The reversal of 1401642337144 is 4417332461041.

It is a junction number, because it is equal to n+sod(n) for n = 1401642337097 and 1401642337106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 585724812 + ... + 585727204.

It is an arithmetic number, because the mean of its divisors is an integer number (24178651875).

Almost surely, 2^{1401642337144} is an apocalyptic number.

1401642337144 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 1401642337144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547433720000).

1401642337144 is an abundant number, since it is smaller than the sum of its proper divisors (1693225102856).

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

1401642337144 is a wasteful number, since it uses less digits than its factorization.

1401642337144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4422 (or 4404 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

Adding to 1401642337144 its reverse (4417332461041), we get a palindrome (5818974798185).

The spelling of 1401642337144 in words is "one trillion, four hundred one billion, six hundred forty-two million, three hundred thirty-seven thousand, one hundred forty-four".