4951677873408 has 432 divisors, whose sum is σ = 16202356961280. Its totient is φ = 1314656059392.

The previous prime is 4951677873407. The next prime is 4951677873449. The reversal of 4951677873408 is 8043787761594.

It is a super-2 number, since 2×4951677873408² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4951677873407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122719285 + ... + 122759627.

Almost surely, 2^{4951677873408} is an apocalyptic number.

4951677873408 is a gapful number since it is divisible by the number (48) 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 4951677873408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8101178480640).

4951677873408 is an abundant number, since it is smaller than the sum of its proper divisors (11250679087872).

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

4951677873408 is a wasteful number, since it uses less digits than its factorization.

4951677873408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40482 (or 40451 counting only the distinct ones).

The product of its (nonzero) digits is 284497920, while the sum is 69.

The spelling of 4951677873408 in words is "four trillion, nine hundred fifty-one billion, six hundred seventy-seven million, eight hundred seventy-three thousand, four hundred eight".