10364001040 has 80 divisors (see below), whose sum is σ = 26107221888. Its totient is φ = 3810981888.

The previous prime is 10364001031. The next prime is 10364001059. The reversal of 10364001040 is 4010046301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×10364001040³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10364000999 and 10364001017.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30132 + ... + 147091.

Almost surely, 2^10364001040 is an apocalyptic number.

10364001040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10364001040 is an abundant number, since it is smaller than the sum of its proper divisors (15743220848).

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

10364001040 is a wasteful number, since it uses less digits than its factorization.

10364001040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177296 (or 177290 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10364001040 its reverse (4010046301), we get a palindrome (14374047341).

The spelling of 10364001040 in words is "ten billion, three hundred sixty-four million, one thousand, forty".