31428167040 has 768 divisors, whose sum is σ = 118415831040. Its totient is φ = 7664025600.

The previous prime is 31428166993. The next prime is 31428167041. The reversal of 31428167040 is 4076182413.

31428167040 is a `hidden beast` number, since 31 + 428 + 167 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 31428166986 and 31428167004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31428167041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 442650205 + ... + 442650275.

It is an arithmetic number, because the mean of its divisors is an integer number (154187280).

Almost surely, 2^31428167040 is an apocalyptic number.

31428167040 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 31428167040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59207915520).

31428167040 is an abundant number, since it is smaller than the sum of its proper divisors (86987664000).

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

31428167040 is a wasteful number, since it uses less digits than its factorization.

31428167040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 31428167040 in words is "thirty-one billion, four hundred twenty-eight million, one hundred sixty-seven thousand, forty".