4123620349680 has 320 divisors, whose sum is σ = 14594713878528. Its totient is φ = 955752099840.

The previous prime is 4123620349679. The next prime is 4123620349699. The reversal of 4123620349680 is 869430263214.

It is a super-2 number, since 2×4123620349680² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3002497 + ... + 4154783.

Almost surely, 2^{4123620349680} is an apocalyptic number.

4123620349680 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 4123620349680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7297356939264).

4123620349680 is an abundant number, since it is smaller than the sum of its proper divisors (10471093528848).

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

4123620349680 is a wasteful number, since it uses less digits than its factorization.

4123620349680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152384 (or 1152378 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 4123620349680 in words is "four trillion, one hundred twenty-three billion, six hundred twenty million, three hundred forty-nine thousand, six hundred eighty".