4016551698432 has 896 divisors, whose sum is σ = 14712049336320. Its totient is φ = 1054569922560.

The previous prime is 4016551698431. The next prime is 4016551698461. The reversal of 4016551698432 is 2348961556104.

4016551698432 is a `hidden beast` number, since 4 + 0 + 1 + 6 + 5 + 516 + 98 + 4 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×4016551698432² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4016551698431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8675057433 + ... + 8675057895.

It is an arithmetic number, because the mean of its divisors is an integer number (16419697920).

Almost surely, 2^{4016551698432} is an apocalyptic number.

4016551698432 is a gapful number since it is divisible by the number (42) 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 4016551698432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7356024668160).

4016551698432 is an abundant number, since it is smaller than the sum of its proper divisors (10695497637888).

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

4016551698432 is a wasteful number, since it uses less digits than its factorization.

4016551698432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 4016551698432 in words is "four trillion, sixteen billion, five hundred fifty-one million, six hundred ninety-eight thousand, four hundred thirty-two".