1461115040 has 192 divisors, whose sum is σ = 4330609920. Its totient is φ = 452567040.

The previous prime is 1461115013. The next prime is 1461115057. The reversal of 1461115040 is 405111641.

It is a happy number.

It is a super-2 number, since 2×1461115040² = 4269714320228403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1461114997 and 1461115015.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2870306 + ... + 2870814.

It is an arithmetic number, because the mean of its divisors is an integer number (22555260).

Almost surely, 2^1461115040 is an apocalyptic number.

1461115040 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 1461115040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2165304960).

1461115040 is an abundant number, since it is smaller than the sum of its proper divisors (2869494880).

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

1461115040 is a wasteful number, since it uses less digits than its factorization.

1461115040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 1461115040 is about 38224.5345295401. The cubic root of 1461115040 is about 1134.7359228305.

Adding to 1461115040 its reverse (405111641), we get a palindrome (1866226681).

It can be divided in two parts, 146111 and 5040, that added together give a palindrome (151151).

The spelling of 1461115040 in words is "one billion, four hundred sixty-one million, one hundred fifteen thousand, forty".