15461213040 has 960 divisors, whose sum is σ = 70746721920. Its totient is φ = 3065610240.

The previous prime is 15461213039. The next prime is 15461213059. The reversal of 15461213040 is 4031216451.

It is a happy number.

15461213040 is a `hidden beast` number, since 1 + 5 + 4 + 612 + 1 + 3 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 15461212995 and 15461213013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23390310 + ... + 23390970.

It is an arithmetic number, because the mean of its divisors is an integer number (73694502).

Almost surely, 2^15461213040 is an apocalyptic number.

15461213040 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 15461213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35373360960).

15461213040 is an abundant number, since it is smaller than the sum of its proper divisors (55285508880).

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

15461213040 is a wasteful number, since it uses less digits than its factorization.

15461213040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 15461213040 its reverse (4031216451), we get a palindrome (19492429491).

The spelling of 15461213040 in words is "fifteen billion, four hundred sixty-one million, two hundred thirteen thousand, forty".