1541144880 has 240 divisors, whose sum is σ = 5856125184. Its totient is φ = 373559040.

The previous prime is 1541144863. The next prime is 1541144887. The reversal of 1541144880 is 884411451.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-5 number, since 5×1541144880⁵ (a number of 47 digits) contains 55555 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1541144887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210237 + ... + 217443.

Almost surely, 2^1541144880 is an apocalyptic number.

1541144880 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 1541144880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2928062592).

1541144880 is an abundant number, since it is smaller than the sum of its proper divisors (4314980304).

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

1541144880 is a wasteful number, since it uses less digits than its factorization.

1541144880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7246 (or 7228 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 1541144880 is about 39257.4181524970. The cubic root of 1541144880 is about 1155.0864499299.

The spelling of 1541144880 in words is "one billion, five hundred forty-one million, one hundred forty-four thousand, eight hundred eighty".