1541442402432 has 192 divisors, whose sum is σ = 4713554079000. Its totient is φ = 481842266112.

The previous prime is 1541442402419. The next prime is 1541442402457. The reversal of 1541442402432 is 2342042441451.

1541442402432 is a `hidden beast` number, since 1 + 541 + 4 + 42 + 40 + 2 + 4 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1512250629696 + 29191772736 = 1229736^2 + 170856^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5282694 + ... + 5566842.

Almost surely, 2^{1541442402432} is an apocalyptic number.

1541442402432 is a gapful number since it is divisible by the number (12) 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 1541442402432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356777039500).

1541442402432 is an abundant number, since it is smaller than the sum of its proper divisors (3172111676568).

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

1541442402432 is a wasteful number, since it uses less digits than its factorization.

1541442402432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284463 (or 284448 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 1541442402432 its reverse (2342042441451), we get a palindrome (3883484843883).

The spelling of 1541442402432 in words is "one trillion, five hundred forty-one billion, four hundred forty-two million, four hundred two thousand, four hundred thirty-two".