10411301242440 has 768 divisors, whose sum is σ = 41245544736000. Its totient is φ = 2357787833856.

The previous prime is 10411301242427. The next prime is 10411301242471. The reversal of 10411301242440 is 4424210311401.

10411301242440 is a `hidden beast` number, since 1 + 0 + 41 + 130 + 12 + 42 + 440 = 666.

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

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, 467219539 + ... + 467241821.

It is an arithmetic number, because the mean of its divisors is an integer number (53705136375).

Almost surely, 2^{10411301242440} is an apocalyptic number.

10411301242440 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 10411301242440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20622772368000).

10411301242440 is an abundant number, since it is smaller than the sum of its proper divisors (30834243493560).

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

10411301242440 is a wasteful number, since it uses less digits than its factorization.

10411301242440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22438 (or 22409 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10411301242440 its reverse (4424210311401), we get a palindrome (14835511553841).

The spelling of 10411301242440 in words is "ten trillion, four hundred eleven billion, three hundred one million, two hundred forty-two thousand, four hundred forty".