39674145420 has 720 divisors, whose sum is σ = 162800688960. Its totient is φ = 7606738944.

The previous prime is 39674145361. The next prime is 39674145439. The reversal of 39674145420 is 2454147693.

39674145420 is a `hidden beast` number, since 3 + 9 + 67 + 41 + 4 + 542 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1368073966 + ... + 1368073994.

It is an arithmetic number, because the mean of its divisors is an integer number (226112068).

Almost surely, 2^39674145420 is an apocalyptic number.

39674145420 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 39674145420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81400344480).

39674145420 is an abundant number, since it is smaller than the sum of its proper divisors (123126543540).

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

39674145420 is a wasteful number, since it uses less digits than its factorization.

39674145420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 39674145420 in words is "thirty-nine billion, six hundred seventy-four million, one hundred forty-five thousand, four hundred twenty".