11406061578240 has 1920 divisors, whose sum is σ = 50181069818880. Its totient is φ = 2418599264256.

The previous prime is 11406061578211. The next prime is 11406061578287. The reversal of 11406061578240 is 4287516060411.

11406061578240 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 6 + 0 + 615 + 7 + 8 + 24 + 0 = 666.

11406061578240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

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 159 ways as a sum of consecutive naturals, for example, 7205344489 + ... + 7205346071.

It is an arithmetic number, because the mean of its divisors is an integer number (26135973864).

Almost surely, 2^{11406061578240} is an apocalyptic number.

11406061578240 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 11406061578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25090534909440).

11406061578240 is an abundant number, since it is smaller than the sum of its proper divisors (38775008240640).

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

11406061578240 is a wasteful number, since it uses less digits than its factorization.

11406061578240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 11406061578240 in words is "eleven trillion, four hundred six billion, sixty-one million, five hundred seventy-eight thousand, two hundred forty".