14259090515040 has 768 divisors, whose sum is σ = 61171204147200. Its totient is φ = 3029418123264.

The previous prime is 14259090515027. The next prime is 14259090515053. The reversal of 14259090515040 is 4051509095241.

14259090515040 is a `hidden beast` number, since 1 + 4 + 2 + 5 + 9 + 0 + 90 + 51 + 504 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14259090515027) and next prime (14259090515053).

It is a super-2 number, since 2×14259090515040² (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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30217554 + ... + 30685806.

It is an arithmetic number, because the mean of its divisors is an integer number (79650005400).

Almost surely, 2^{14259090515040} is an apocalyptic number.

14259090515040 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 14259090515040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30585602073600).

14259090515040 is an abundant number, since it is smaller than the sum of its proper divisors (46912113632160).

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

14259090515040 is a wasteful number, since it uses less digits than its factorization.

14259090515040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468356 (or 468342 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 14259090515040 in words is "fourteen trillion, two hundred fifty-nine billion, ninety million, five hundred fifteen thousand, forty".