1541541672000 has 896 divisors, whose sum is σ = 6230794752000. Its totient is φ = 370020096000.

The previous prime is 1541541671983. The next prime is 1541541672001. The reversal of 1541541672000 is 2761451451.

1541541672000 is a `hidden beast` number, since 1 + 5 + 41 + 541 + 6 + 72 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1541541672001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 244724851 + ... + 244731149.

It is an arithmetic number, because the mean of its divisors is an integer number (6954012000).

Almost surely, 2^{1541541672000} is an apocalyptic number.

1541541672000 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 1541541672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3115397376000).

1541541672000 is an abundant number, since it is smaller than the sum of its proper divisors (4689253080000).

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

1541541672000 is a wasteful number, since it uses less digits than its factorization.

1541541672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6449 (or 6423 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 1541541672000 in words is "one trillion, five hundred forty-one billion, five hundred forty-one million, six hundred seventy-two thousand".