4216954309920 has 1152 divisors, whose sum is σ = 17356405248000. Its totient is φ = 956082216960.

The previous prime is 4216954309853. The next prime is 4216954309937. The reversal of 4216954309920 is 299034596124.

4216954309920 is a `hidden beast` number, since 4 + 2 + 1 + 6 + 9 + 543 + 0 + 9 + 92 + 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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 641944396 + ... + 641950964.

It is an arithmetic number, because the mean of its divisors is an integer number (15066324000).

Almost surely, 2^{4216954309920} is an apocalyptic number.

4216954309920 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 4216954309920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8678202624000).

4216954309920 is an abundant number, since it is smaller than the sum of its proper divisors (13139450938080).

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

4216954309920 is a wasteful number, since it uses less digits than its factorization.

4216954309920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6708 (or 6688 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 4216954309920 in words is "four trillion, two hundred sixteen billion, nine hundred fifty-four million, three hundred nine thousand, nine hundred twenty".