1010400033 has 24 divisors (see below), whose sum is σ = 1394303232. Its totient is φ = 650804544.

The previous prime is 1010400029. The next prime is 1010400059. The reversal of 1010400033 is 3300040101.

It is not a de Polignac number, because 1010400033 - 2² = 1010400029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010399991 and 1010400018.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010401033) 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, 644016 + ... + 645582.

It is an arithmetic number, because the mean of its divisors is an integer number (58095968).

Almost surely, 2^1010400033 is an apocalyptic number.

It is an amenable number.

1010400033 is a deficient number, since it is larger than the sum of its proper divisors (383903199).

1010400033 is a wasteful number, since it uses less digits than its factorization.

1010400033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1801 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1010400033 is about 31786.7902280177. The cubic root of 1010400033 is about 1003.4547287715.

Adding to 1010400033 its reverse (3300040101), we get a palindrome (4310440134).

The spelling of 1010400033 in words is "one billion, ten million, four hundred thousand, thirty-three".