11404430727270 has 384 divisors, whose sum is σ = 34835832041472. Its totient is φ = 2371783680000.

The previous prime is 11404430727229. The next prime is 11404430727293. The reversal of 11404430727270 is 7272703440411.

11404430727270 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11404430727270² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 800247645 + ... + 800261895.

It is an arithmetic number, because the mean of its divisors is an integer number (90718312608).

Almost surely, 2^{11404430727270} is an apocalyptic number.

11404430727270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11404430727270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17417916020736).

11404430727270 is an abundant number, since it is smaller than the sum of its proper divisors (23431401314202).

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

11404430727270 is a wasteful number, since it uses less digits than its factorization.

11404430727270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15356 (or 15349 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 42.

The spelling of 11404430727270 in words is "eleven trillion, four hundred four billion, four hundred thirty million, seven hundred twenty-seven thousand, two hundred seventy".