11126498423040 has 3456 divisors, whose sum is σ = 55720489144320. Its totient is φ = 1973138227200.

The previous prime is 11126498423003. The next prime is 11126498423057. The reversal of 11126498423040 is 4032489462111.

11126498423040 is a `hidden beast` number, since 1 + 1 + 1 + 264 + 9 + 84 + 2 + 304 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9421251250 + ... + 9421252430.

It is an arithmetic number, because the mean of its divisors is an integer number (16122826720).

Almost surely, 2^{11126498423040} is an apocalyptic number.

11126498423040 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 11126498423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27860244572160).

11126498423040 is an abundant number, since it is smaller than the sum of its proper divisors (44593990721280).

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

11126498423040 is a wasteful number, since it uses less digits than its factorization.

11126498423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 11126498423040 in words is "eleven trillion, one hundred twenty-six billion, four hundred ninety-eight million, four hundred twenty-three thousand, forty".