11406990255040 has 448 divisors, whose sum is σ = 30402966067200. Its totient is φ = 4059672182784.

The previous prime is 11406990254969. The next prime is 11406990255047. The reversal of 11406990255040 is 4055209960411.

11406990255040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11406990255047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 771830371 + ... + 771845149.

Almost surely, 2^{11406990255040} is an apocalyptic number.

11406990255040 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 11406990255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15201483033600).

11406990255040 is an abundant number, since it is smaller than the sum of its proper divisors (18995975812160).

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

11406990255040 is a wasteful number, since it uses less digits than its factorization.

11406990255040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14972 (or 14962 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 46.

The spelling of 11406990255040 in words is "eleven trillion, four hundred six billion, nine hundred ninety million, two hundred fifty-five thousand, forty".