11540299811040 has 2304 divisors, whose sum is σ = 56057348229120. Its totient is φ = 2141348659200.

The previous prime is 11540299811021. The next prime is 11540299811083. The reversal of 11540299811040 is 4011899204511.

It is a happy number.

11540299811040 is a `hidden beast` number, since 1 + 1 + 5 + 402 + 9 + 98 + 110 + 40 = 666.

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

It is a congruent number.

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, 4155670132 + ... + 4155672908.

It is an arithmetic number, because the mean of its divisors is an integer number (24330446280).

Almost surely, 2^{11540299811040} is an apocalyptic number.

11540299811040 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 11540299811040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28028674114560).

11540299811040 is an abundant number, since it is smaller than the sum of its proper divisors (44517048418080).

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

11540299811040 is a wasteful number, since it uses less digits than its factorization.

11540299811040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2894 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 11540299811040 in words is "eleven trillion, five hundred forty billion, two hundred ninety-nine million, eight hundred eleven thousand, forty".