1401484032 has 216 divisors, whose sum is σ = 4515433104. Its totient is φ = 430977024.

The previous prime is 1401484027. The next prime is 1401484037. The reversal of 1401484032 is 2304841041.

It is an interprime number because it is at equal distance from previous prime (1401484027) and next prime (1401484037).

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1401483987 and 1401484005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1401484037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 807838 + ... + 809570.

Almost surely, 2^1401484032 is an apocalyptic number.

1401484032 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 1401484032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257716552).

1401484032 is an abundant number, since it is smaller than the sum of its proper divisors (3113949072).

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

1401484032 is an equidigital number, since it uses as much as digits as its factorization.

1401484032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1401484032 is about 37436.3998269064. The cubic root of 1401484032 is about 1119.0840811117.

The spelling of 1401484032 in words is "one billion, four hundred one million, four hundred eighty-four thousand, thirty-two".