12177407040 has 224 divisors, whose sum is σ = 42469125120. Its totient is φ = 2942539776.

The previous prime is 12177407029. The next prime is 12177407051. The reversal of 12177407040 is 4070477121.

It is an interprime number because it is at equal distance from previous prime (12177407029) and next prime (12177407051).

It is a junction number, because it is equal to n+sod(n) for n = 12177406992 and 12177407010.

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, 405007 + ... + 434033.

Almost surely, 2^12177407040 is an apocalyptic number.

12177407040 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 12177407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21234562560).

12177407040 is an abundant number, since it is smaller than the sum of its proper divisors (30291718080).

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

12177407040 is a wasteful number, since it uses less digits than its factorization.

12177407040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29089 (or 29079 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 33.

The spelling of 12177407040 in words is "twelve billion, one hundred seventy-seven million, four hundred seven thousand, forty".