4196521405440 has 3520 divisors, whose sum is σ = 20325012922368. Its totient is φ = 802632499200.

The previous prime is 4196521405411. The next prime is 4196521405441. The reversal of 4196521405440 is 445041256914.

4196521405440 is a `hidden beast` number, since 4 + 1 + 9 + 65 + 2 + 1 + 40 + 544 + 0 = 666.

It is a super-2 number, since 2×4196521405440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4196521405441) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 19888726935 + ... + 19888727145.

Almost surely, 2^{4196521405440} is an apocalyptic number.

4196521405440 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 4196521405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10162506461184).

4196521405440 is an abundant number, since it is smaller than the sum of its proper divisors (16128491516928).

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

4196521405440 is a wasteful number, since it uses less digits than its factorization.

4196521405440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 4196521405440 in words is "four trillion, one hundred ninety-six billion, five hundred twenty-one million, four hundred five thousand, four hundred forty".