31720001040 has 1440 divisors, whose sum is σ = 145226704896. Its totient is φ = 6131220480.

The previous prime is 31720001023. The next prime is 31720001057. The reversal of 31720001040 is 4010002713.

It is an interprime number because it is at equal distance from previous prime (31720001023) and next prime (31720001057).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 327010272 + ... + 327010368.

Almost surely, 2^31720001040 is an apocalyptic number.

31720001040 is a gapful number since it is divisible by the number (30) 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 31720001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72613352448).

31720001040 is an abundant number, since it is smaller than the sum of its proper divisors (113506703856).

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

31720001040 is a wasteful number, since it uses less digits than its factorization.

31720001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

Adding to 31720001040 its reverse (4010002713), we get a palindrome (35730003753).

The spelling of 31720001040 in words is "thirty-one billion, seven hundred twenty million, one thousand, forty".