13920401505000 has 320 divisors, whose sum is σ = 45835782854400. Its totient is φ = 3516472960000.

The previous prime is 13920401504969. The next prime is 13920401505019. The reversal of 13920401505000 is 50510402931.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22753105 + ... + 23356895.

It is an arithmetic number, because the mean of its divisors is an integer number (143236821420).

Almost surely, 2^{13920401505000} is an apocalyptic number.

13920401505000 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 13920401505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22917891427200).

13920401505000 is an abundant number, since it is smaller than the sum of its proper divisors (31915381349400).

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

13920401505000 is a wasteful number, since it uses less digits than its factorization.

13920401505000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603902 (or 603883 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

Adding to 13920401505000 its reverse (50510402931), we get a palindrome (13970911907931).

The spelling of 13920401505000 in words is "thirteen trillion, nine hundred twenty billion, four hundred one million, five hundred five thousand".