1631011040 has 96 divisors (see below), whose sum is σ = 4001568480. Its totient is φ = 627472384.

The previous prime is 1631011013. The next prime is 1631011049. The reversal of 1631011040 is 401101361.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1631011049) 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, 1609574 + ... + 1610586.

It is an arithmetic number, because the mean of its divisors is an integer number (41683005).

Almost surely, 2^1631011040 is an apocalyptic number.

1631011040 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 1631011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000784240).

1631011040 is an abundant number, since it is smaller than the sum of its proper divisors (2370557440).

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

1631011040 is a wasteful number, since it uses less digits than its factorization.

1631011040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 1631011040 is about 40385.7776946291. Note that the first 3 decimals coincide. The cubic root of 1631011040 is about 1177.1151976992.

The spelling of 1631011040 in words is "one billion, six hundred thirty-one million, eleven thousand, forty".