13941407040000 has 1200 divisors, whose sum is σ = 51322033867104. Its totient is φ = 3359375360000.

The previous prime is 13941407039993. The next prime is 13941407040013. The reversal of 13941407040000 is 4070414931.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 29853119767 + ... + 29853120233.

Almost surely, 2^{13941407040000} is an apocalyptic number.

13941407040000 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 13941407040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25661016933552).

13941407040000 is an abundant number, since it is smaller than the sum of its proper divisors (37380626827104).

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

13941407040000 is an equidigital number, since it uses as much as digits as its factorization.

13941407040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

Adding to 13941407040000 its reverse (4070414931), we get a palindrome (13945477454931).

The spelling of 13941407040000 in words is "thirteen trillion, nine hundred forty-one billion, four hundred seven million, forty thousand".