541640232236400 has 480 divisors, whose sum is σ = 1910674096459776. Its totient is φ = 130066070400000.

The previous prime is 541640232236353. The next prime is 541640232236429. The reversal of 541640232236400 is 4632232046145.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23235380745 + ... + 23235404055.

Almost surely, 2^{541640232236400} is an apocalyptic number.

541640232236400 is a gapful number since it is divisible by the number (50) 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 541640232236400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955337048229888).

541640232236400 is an abundant number, since it is smaller than the sum of its proper divisors (1369033864223376).

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

541640232236400 is a wasteful number, since it uses less digits than its factorization.

541640232236400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39901 (or 39890 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 541640232236400 in words is "five hundred forty-one trillion, six hundred forty billion, two hundred thirty-two million, two hundred thirty-six thousand, four hundred".