1141511536440 has 576 divisors, whose sum is σ = 4159679378400. Its totient is φ = 271206144000.

The previous prime is 1141511536423. The next prime is 1141511536489. The reversal of 1141511536440 is 446351151411.

1141511536440 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 5 + 1 + 1 + 5 + 3 + 644 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1141511536395 and 1141511536404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1390391230 + ... + 1390392050.

Almost surely, 2^{1141511536440} is an apocalyptic number.

1141511536440 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 1141511536440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2079839689200).

1141511536440 is an abundant number, since it is smaller than the sum of its proper divisors (3018167841960).

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

1141511536440 is a wasteful number, since it uses less digits than its factorization.

1141511536440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 1141511536440 its reverse (446351151411), we get a palindrome (1587862687851).

The spelling of 1141511536440 in words is "one trillion, one hundred forty-one billion, five hundred eleven million, five hundred thirty-six thousand, four hundred forty".