2011554400440 has 96 divisors (see below), whose sum is σ = 6534576195120. Its totient is φ = 495151847424.

The previous prime is 2011554400433. The next prime is 2011554400441. The reversal of 2011554400440 is 440044551102.

It is a super-2 number, since 2×2011554400440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2011554400398 and 2011554400407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011554400441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49574257 + ... + 49614816.

Almost surely, 2^{2011554400440} is an apocalyptic number.

2011554400440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011554400440 is an abundant number, since it is smaller than the sum of its proper divisors (4523021794680).

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

2011554400440 is a wasteful number, since it uses less digits than its factorization.

2011554400440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99189113 (or 99189096 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 2011554400440 its reverse (440044551102), we get a palindrome (2451598951542).

The spelling of 2011554400440 in words is "two trillion, eleven billion, five hundred fifty-four million, four hundred thousand, four hundred forty".