11627480040 has 128 divisors (see below), whose sum is σ = 38083893120. Its totient is φ = 2816537600.

The previous prime is 11627480017. The next prime is 11627480057. The reversal of 11627480040 is 4008472611.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 11627479983 and 11627480010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2158150 + ... + 2163530.

It is an arithmetic number, because the mean of its divisors is an integer number (297530415).

Almost surely, 2^11627480040 is an apocalyptic number.

11627480040 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 11627480040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19041946560).

11627480040 is an abundant number, since it is smaller than the sum of its proper divisors (26456413080).

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

11627480040 is a wasteful number, since it uses less digits than its factorization.

11627480040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7043 (or 7039 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 11627480040 in words is "eleven billion, six hundred twenty-seven million, four hundred eighty thousand, forty".