1011451111440 has 640 divisors, whose sum is σ = 4119720321024. Its totient is φ = 199034880000.

The previous prime is 1011451111343. The next prime is 1011451111487. The reversal of 1011451111440 is 441111541101.

It is a super-2 number, since 2×1011451111440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1011451111440.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42917260 + ... + 42940820.

Almost surely, 2^{1011451111440} is an apocalyptic number.

1011451111440 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 1011451111440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059860160512).

1011451111440 is an abundant number, since it is smaller than the sum of its proper divisors (3108269209584).

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

1011451111440 is a wasteful number, since it uses less digits than its factorization.

1011451111440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23719 (or 23713 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 24.

Adding to 1011451111440 its reverse (441111541101), we get a palindrome (1452562652541).

It can be divided in two parts, 101 and 1451111440, that added together give a palindrome (1451111541).

The spelling of 1011451111440 in words is "one trillion, eleven billion, four hundred fifty-one million, one hundred eleven thousand, four hundred forty".