1241401632 has 192 divisors, whose sum is σ = 3622993920. Its totient is φ = 370427904.

The previous prime is 1241401597. The next prime is 1241401639. The reversal of 1241401632 is 2361041421.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1241401639) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5327788 + ... + 5328020.

It is an arithmetic number, because the mean of its divisors is an integer number (18869760).

Almost surely, 2^1241401632 is an apocalyptic number.

1241401632 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 1241401632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811496960).

1241401632 is an abundant number, since it is smaller than the sum of its proper divisors (2381592288).

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

1241401632 is a wasteful number, since it uses less digits than its factorization.

1241401632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1241401632 is about 35233.5299395335. The cubic root of 1241401632 is about 1074.7417102912.

The spelling of 1241401632 in words is "one billion, two hundred forty-one million, four hundred one thousand, six hundred thirty-two".