4670852626440 has 2560 divisors, whose sum is σ = 22352343552000. Its totient is φ = 842495385600.

The previous prime is 4670852626409. The next prime is 4670852626483. The reversal of 4670852626440 is 446262580764.

It is a happy number.

4670852626440 is a `hidden beast` number, since 4 + 6 + 7 + 0 + 8 + 5 + 2 + 626 + 4 + 4 + 0 = 666.

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

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 639 ways as a sum of consecutive naturals, for example, 14111337075 + ... + 14111337405.

It is an arithmetic number, because the mean of its divisors is an integer number (8731384200).

Almost surely, 2^{4670852626440} is an apocalyptic number.

4670852626440 is a gapful number since it is divisible by the number (40) 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 4670852626440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11176171776000).

4670852626440 is an abundant number, since it is smaller than the sum of its proper divisors (17681490925560).

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

4670852626440 is a wasteful number, since it uses less digits than its factorization.

4670852626440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 4670852626440 in words is "four trillion, six hundred seventy billion, eight hundred fifty-two million, six hundred twenty-six thousand, four hundred forty".