1241628432000 has 768 divisors, whose sum is σ = 4545295896960. Its totient is φ = 299599872000.

The previous prime is 1241628431983. The next prime is 1241628432049. The reversal of 1241628432000 is 2348261421.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 1817903659 + ... + 1817904341.

Almost surely, 2^{1241628432000} is an apocalyptic number.

1241628432000 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 1241628432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2272647948480).

1241628432000 is an abundant number, since it is smaller than the sum of its proper divisors (3303667464960).

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

1241628432000 is a wasteful number, since it uses less digits than its factorization.

1241628432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 1241628432000 in words is "one trillion, two hundred forty-one billion, six hundred twenty-eight million, four hundred thirty-two thousand".