11453461412040 has 256 divisors, whose sum is σ = 38739015417600. Its totient is φ = 3009678336000.

The previous prime is 11453461412039. The next prime is 11453461412077. The reversal of 11453461412040 is 4021416435411.

11453461412040 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 34 + 614 + 1 + 2 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11453461411986 and 11453461412004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22767064 + ... + 23264696.

It is an arithmetic number, because the mean of its divisors is an integer number (151324278975).

Almost surely, 2^{11453461412040} is an apocalyptic number.

11453461412040 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 11453461412040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19369507708800).

11453461412040 is an abundant number, since it is smaller than the sum of its proper divisors (27285554005560).

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

11453461412040 is a wasteful number, since it uses less digits than its factorization.

11453461412040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497965 (or 497955 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 11453461412040 its reverse (4021416435411), we get a palindrome (15474877847451).

The spelling of 11453461412040 in words is "eleven trillion, four hundred fifty-three billion, four hundred sixty-one million, four hundred twelve thousand, forty".