1541980804000 has 288 divisors, whose sum is σ = 4746224757456. Its totient is φ = 488010700800.

The previous prime is 1541980803997. The next prime is 1541980804031. The reversal of 1541980804000 is 4080891451.

It can be written as a sum of positive squares in 8 ways, for example, as 160387434256 + 1381593369744 = 400484^2 + 1175412^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2245414 + ... + 2850586.

Almost surely, 2^{1541980804000} is an apocalyptic number.

1541980804000 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 1541980804000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373112378728).

1541980804000 is an abundant number, since it is smaller than the sum of its proper divisors (3204243953456).

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

1541980804000 is a wasteful number, since it uses less digits than its factorization.

1541980804000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605225 (or 605200 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 40.

The spelling of 1541980804000 in words is "one trillion, five hundred forty-one billion, nine hundred eighty million, eight hundred four thousand".