1141306479040 has 336 divisors, whose sum is σ = 3412036051200. Its totient is φ = 360419770368.

The previous prime is 1141306478993. The next prime is 1141306479043. The reversal of 1141306479040 is 409746031411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1141306478984 and 1141306479002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141306479043) 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, 97633516 + ... + 97645204.

It is an arithmetic number, because the mean of its divisors is an integer number (10154869200).

Almost surely, 2^{1141306479040} is an apocalyptic number.

1141306479040 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 1141306479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706018025600).

1141306479040 is an abundant number, since it is smaller than the sum of its proper divisors (2270729572160).

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

1141306479040 is a wasteful number, since it uses less digits than its factorization.

1141306479040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12212 (or 12195 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 1141306479040 in words is "one trillion, one hundred forty-one billion, three hundred six million, four hundred seventy-nine thousand, forty".