1040172000 has 576 divisors, whose sum is σ = 4167858240. Its totient is φ = 225792000.

The previous prime is 1040171959. The next prime is 1040172059. The reversal of 1040172000 is 2710401.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17051970 + ... + 17052030.

It is an arithmetic number, because the mean of its divisors is an integer number (7235865).

Almost surely, 2^1040172000 is an apocalyptic number.

1040172000 is a gapful number since it is divisible by the number (10) 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 1040172000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083929120).

1040172000 is an abundant number, since it is smaller than the sum of its proper divisors (3127686240).

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

1040172000 is a wasteful number, since it uses less digits than its factorization.

1040172000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 1040172000 is about 32251.6976297373. The cubic root of 1040172000 is about 1013.2152544008.

Adding to 1040172000 its reverse (2710401), we get a palindrome (1042882401).

The spelling of 1040172000 in words is "one billion, forty million, one hundred seventy-two thousand".