40598229672 has 768 divisors, whose sum is σ = 158271160320. Its totient is φ = 9405849600.

The previous prime is 40598229653. The next prime is 40598229673. The reversal of 40598229672 is 27692289504.

40598229672 is a `hidden beast` number, since 40 + 598 + 2 + 2 + 9 + 6 + 7 + 2 = 666.

It is a super-2 number, since 2×40598229672² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (40598229673) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60323928 + ... + 60324600.

It is an arithmetic number, because the mean of its divisors is an integer number (206082240).

Almost surely, 2^40598229672 is an apocalyptic number.

40598229672 is a gapful number since it is divisible by the number (42) 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 40598229672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79135580160).

40598229672 is an abundant number, since it is smaller than the sum of its proper divisors (117672930648).

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

40598229672 is a wasteful number, since it uses less digits than its factorization.

40598229672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 40598229672 in words is "forty billion, five hundred ninety-eight million, two hundred twenty-nine thousand, six hundred seventy-two".