11287946329440 has 576 divisors, whose sum is σ = 39405806899200. Its totient is φ = 2713993891840.

The previous prime is 11287946329421. The next prime is 11287946329501. The reversal of 11287946329440 is 4492364978211.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3734019769 + ... + 3734022791.

It is an arithmetic number, because the mean of its divisors is an integer number (68412859200).

Almost surely, 2^{11287946329440} is an apocalyptic number.

11287946329440 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 11287946329440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19702903449600).

11287946329440 is an abundant number, since it is smaller than the sum of its proper divisors (28117860569760).

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

11287946329440 is a wasteful number, since it uses less digits than its factorization.

11287946329440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3571 (or 3552 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 11287946329440 in words is "eleven trillion, two hundred eighty-seven billion, nine hundred forty-six million, three hundred twenty-nine thousand, four hundred forty".