541336899840 has 288 divisors, whose sum is σ = 1946912550912. Its totient is φ = 126999552000.

The previous prime is 541336899787. The next prime is 541336899911. The reversal of 541336899840 is 48998633145.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1102735 + ... + 1516145.

It is an arithmetic number, because the mean of its divisors is an integer number (6760113024).

Almost surely, 2^541336899840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541336899840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973456275456).

541336899840 is an abundant number, since it is smaller than the sum of its proper divisors (1405575651072).

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

541336899840 is a wasteful number, since it uses less digits than its factorization.

541336899840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413477 (or 413463 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 60.

The spelling of 541336899840 in words is "five hundred forty-one billion, three hundred thirty-six million, eight hundred ninety-nine thousand, eight hundred forty".