13642510546140 has 192 divisors, whose sum is σ = 44111543691264. Its totient is φ = 3085759660032.

The previous prime is 13642510546121. The next prime is 13642510546193. The reversal of 13642510546140 is 4164501524631.

It is a super-2 number, since 2×13642510546140² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 13642510546092 and 13642510546101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 450039624 + ... + 450069936.

It is an arithmetic number, because the mean of its divisors is an integer number (229747623392).

Almost surely, 2^{13642510546140} is an apocalyptic number.

13642510546140 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 13642510546140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22055771845632).

13642510546140 is an abundant number, since it is smaller than the sum of its proper divisors (30469033145124).

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

13642510546140 is a wasteful number, since it uses less digits than its factorization.

13642510546140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41476 (or 41474 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 13642510546140 in words is "thirteen trillion, six hundred forty-two billion, five hundred ten million, five hundred forty-six thousand, one hundred forty".