10401033120 has 96 divisors (see below), whose sum is σ = 32778587520. Its totient is φ = 2772311040.

The previous prime is 10401033103. The next prime is 10401033121. The reversal of 10401033120 is 2133010401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10401033120.

It is not an unprimeable number, because it can be changed into a prime (10401033121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1465741 + ... + 1472819.

It is an arithmetic number, because the mean of its divisors is an integer number (341443620).

Almost surely, 2^10401033120 is an apocalyptic number.

10401033120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10401033120 is an abundant number, since it is smaller than the sum of its proper divisors (22377554400).

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

10401033120 is a wasteful number, since it uses less digits than its factorization.

10401033120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10158 (or 10150 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10401033120 its reverse (2133010401), we get a palindrome (12534043521).

The spelling of 10401033120 in words is "ten billion, four hundred one million, thirty-three thousand, one hundred twenty".