4220329735440 has 960 divisors, whose sum is σ = 19154365042176. Its totient is φ = 838058213376.

The previous prime is 4220329735411. The next prime is 4220329735463. The reversal of 4220329735440 is 445379230224.

4220329735440 is a `hidden beast` number, since 4 + 2 + 2 + 0 + 3 + 297 + 354 + 4 + 0 = 666.

It is a super-2 number, since 2×4220329735440² (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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30003514 + ... + 30143846.

Almost surely, 2^{4220329735440} is an apocalyptic number.

4220329735440 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 4220329735440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9577182521088).

4220329735440 is an abundant number, since it is smaller than the sum of its proper divisors (14934035306736).

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

4220329735440 is a wasteful number, since it uses less digits than its factorization.

4220329735440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140398 (or 140380 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 4220329735440 in words is "four trillion, two hundred twenty billion, three hundred twenty-nine million, seven hundred thirty-five thousand, four hundred forty".