11404060778880 has 3072 divisors, whose sum is σ = 54716630630400. Its totient is φ = 2179370188800.

The previous prime is 11404060778861. The next prime is 11404060778909. The reversal of 11404060778880 is 8887706040411.

11404060778880 is a `hidden beast` number, since 1 + 14 + 0 + 406 + 0 + 77 + 88 + 80 = 666.

It is a super-2 number, since 2×11404060778880² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 18072996165 + ... + 18072996795.

It is an arithmetic number, because the mean of its divisors is an integer number (17811403200).

Almost surely, 2^{11404060778880} is an apocalyptic number.

11404060778880 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 11404060778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27358315315200).

11404060778880 is an abundant number, since it is smaller than the sum of its proper divisors (43312569851520).

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

11404060778880 is a wasteful number, since it uses less digits than its factorization.

11404060778880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 11404060778880 in words is "eleven trillion, four hundred four billion, sixty million, seven hundred seventy-eight thousand, eight hundred eighty".