13575026390040 has 384 divisors, whose sum is σ = 49526515584000. Its totient is φ = 3204521201664.

The previous prime is 13575026389999. The next prime is 13575026390111. The reversal of 13575026390040 is 4009362057531.

13575026390040 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 5 + 0 + 2 + 639 + 0 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×13575026390040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 15742977 + ... + 16582863.

It is an arithmetic number, because the mean of its divisors is an integer number (128975301000).

Almost surely, 2^{13575026390040} is an apocalyptic number.

13575026390040 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 13575026390040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24763257792000).

13575026390040 is an abundant number, since it is smaller than the sum of its proper divisors (35951489193960).

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

13575026390040 is a wasteful number, since it uses less digits than its factorization.

13575026390040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840079 (or 840072 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 13575026390040 in words is "thirteen trillion, five hundred seventy-five billion, twenty-six million, three hundred ninety thousand, forty".