4697121031680 has 960 divisors, whose sum is σ = 19472537677824. Its totient is φ = 944499916800.

The previous prime is 4697121031651. The next prime is 4697121031763. The reversal of 4697121031680 is 861301217964.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 201642114 + ... + 201665406.

Almost surely, 2^{4697121031680} is an apocalyptic number.

4697121031680 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 4697121031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9736268838912).

4697121031680 is an abundant number, since it is smaller than the sum of its proper divisors (14775416646144).

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

4697121031680 is a wasteful number, since it uses less digits than its factorization.

4697121031680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23379 (or 23352 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 4697121031680 in words is "four trillion, six hundred ninety-seven billion, one hundred twenty-one million, thirty-one thousand, six hundred eighty".