4026415417920 has 1680 divisors, whose sum is σ = 17956429489152. Its totient is φ = 837906923520.

The previous prime is 4026415417919. The next prime is 4026415417949. The reversal of 4026415417920 is 297145146204.

4026415417920 is a `hidden beast` number, since 40 + 2 + 6 + 41 + 541 + 7 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×4026415417920² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1625519722 + ... + 1625522198.

Almost surely, 2^{4026415417920} is an apocalyptic number.

4026415417920 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 4026415417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8978214744576).

4026415417920 is an abundant number, since it is smaller than the sum of its proper divisors (13930014071232).

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

4026415417920 is a wasteful number, since it uses less digits than its factorization.

4026415417920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2578 (or 2542 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 4026415417920 in words is "four trillion, twenty-six billion, four hundred fifteen million, four hundred seventeen thousand, nine hundred twenty".