1234415441140 has 144 divisors (see below), whose sum is σ = 3171510526464. Its totient is φ = 401847264000.

The previous prime is 1234415441137. The next prime is 1234415441141. The reversal of 1234415441140 is 411445144321.

It is a junction number, because it is equal to n+sod(n) for n = 1234415441096 and 1234415441105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1234415441141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1226815 + ... + 1993465.

It is an arithmetic number, because the mean of its divisors is an integer number (22024378656).

Almost surely, 2^{1234415441140} is an apocalyptic number.

1234415441140 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 1234415441140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585755263232).

1234415441140 is an abundant number, since it is smaller than the sum of its proper divisors (1937095085324).

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

1234415441140 is a wasteful number, since it uses less digits than its factorization.

1234415441140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766758 (or 766749 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The spelling of 1234415441140 in words is "one trillion, two hundred thirty-four billion, four hundred fifteen million, four hundred forty-one thousand, one hundred forty".