15434451090240 has 2688 divisors, whose sum is σ = 66826985472000. Its totient is φ = 3006682398720.

The previous prime is 15434451090193. The next prime is 15434451090241. The reversal of 15434451090240 is 4209015443451.

15434451090240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 15434451090192 and 15434451090201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15434451090241) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 39677251966 + ... + 39677252354.

Almost surely, 2^{15434451090240} is an apocalyptic number.

15434451090240 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 15434451090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33413492736000).

15434451090240 is an abundant number, since it is smaller than the sum of its proper divisors (51392534381760).

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

15434451090240 is a wasteful number, since it uses less digits than its factorization.

15434451090240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 473 counting only the distinct ones).

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

The spelling of 15434451090240 in words is "fifteen trillion, four hundred thirty-four billion, four hundred fifty-one million, ninety thousand, two hundred forty".