15435402240 has 176 divisors, whose sum is σ = 49811665248. Its totient is φ = 4079222784.

The previous prime is 15435402193. The next prime is 15435402251. The reversal of 15435402240 is 4220453451.

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

It is a junction number, because it is equal to n+sod(n) for n = 15435402198 and 15435402207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1731234 + ... + 1740126.

Almost surely, 2^15435402240 is an apocalyptic number.

15435402240 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 15435402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24905832624).

15435402240 is an abundant number, since it is smaller than the sum of its proper divisors (34376263008).

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

15435402240 is a wasteful number, since it uses less digits than its factorization.

15435402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9034 (or 9016 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 15435402240 its reverse (4220453451), we get a palindrome (19655855691).

The spelling of 15435402240 in words is "fifteen billion, four hundred thirty-five million, four hundred two thousand, two hundred forty".