11900400906240 has 3328 divisors, whose sum is σ = 57354467143680. Its totient is φ = 2264924160000.

The previous prime is 11900400906211. The next prime is 11900400906253. The reversal of 11900400906240 is 4260900400911.

It is a happy number.

11900400906240 is a `hidden beast` number, since 1 + 1 + 9 + 0 + 0 + 400 + 9 + 0 + 6 + 240 = 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 = 11900400906195 and 11900400906204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 29676810040 + ... + 29676810440.

Almost surely, 2^{11900400906240} is an apocalyptic number.

11900400906240 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 11900400906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28677233571840).

11900400906240 is an abundant number, since it is smaller than the sum of its proper divisors (45454066237440).

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

11900400906240 is a wasteful number, since it uses less digits than its factorization.

11900400906240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 11900400906240 in words is "eleven trillion, nine hundred billion, four hundred million, nine hundred six thousand, two hundred forty".