4214150922240 has 1920 divisors, whose sum is σ = 18844151040000. Its totient is φ = 847987605504.

The previous prime is 4214150922229. The next prime is 4214150922263. The reversal of 4214150922240 is 422290514124.

4214150922240 is a `hidden beast` number, since 4 + 2 + 141 + 509 + 2 + 2 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4214150922195 and 4214150922204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53343682521 + ... + 53343682599.

It is an arithmetic number, because the mean of its divisors is an integer number (9814662000).

Almost surely, 2^{4214150922240} is an apocalyptic number.

4214150922240 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 4214150922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9422075520000).

4214150922240 is an abundant number, since it is smaller than the sum of its proper divisors (14630000117760).

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

4214150922240 is an equidigital number, since it uses as much as digits as its factorization.

4214150922240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 4214150922240 in words is "four trillion, two hundred fourteen billion, one hundred fifty million, nine hundred twenty-two thousand, two hundred forty".