85340631040 has 624 divisors, whose sum is σ = 264241922112. Its totient is φ = 25820135424.

The previous prime is 85340631031. The next prime is 85340631133. The reversal of 85340631040 is 4013604358.

It is a happy number.

It is a super-2 number, since 2×85340631040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 85340630987 and 85340631005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 879800272 + ... + 879800368.

Almost surely, 2^85340631040 is an apocalyptic number.

85340631040 is a gapful number since it is divisible by the number (80) 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 85340631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132120961056).

85340631040 is an abundant number, since it is smaller than the sum of its proper divisors (178901291072).

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

85340631040 is a wasteful number, since it uses less digits than its factorization.

85340631040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 85340631040 in words is "eighty-five billion, three hundred forty million, six hundred thirty-one thousand, forty".