1401034032 has 120 divisors (see below), whose sum is σ = 4011171840. Its totient is φ = 456393600.

The previous prime is 1401033973. The next prime is 1401034043. The reversal of 1401034032 is 2304301041.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1401033996 and 1401034014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1216657 + ... + 1217807.

It is an arithmetic number, because the mean of its divisors is an integer number (33426432).

Almost surely, 2^1401034032 is an apocalyptic number.

1401034032 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 1401034032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005585920).

1401034032 is an abundant number, since it is smaller than the sum of its proper divisors (2610137808).

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

1401034032 is a wasteful number, since it uses less digits than its factorization.

1401034032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1401034032 is about 37430.3891510628. The cubic root of 1401034032 is about 1118.9642933883.

Adding to 1401034032 its reverse (2304301041), we get a palindrome (3705335073).

The spelling of 1401034032 in words is "one billion, four hundred one million, thirty-four thousand, thirty-two".