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4407274741920 = 253543233916441
BaseRepresentation
bin100000000100010011000…
…0010111010000010100000
3120121022221112222020202220
41000020212002322002200
51034202044313220140
613212401333111040
7633262243124211
oct100104602720240
916538845866686
104407274741920
11144a129770276
125b21ab488480
1325c7b1635c9b
14113455739408
157999b38cbd0
hex402260ba0a0

4407274741920 has 192 divisors, whose sum is σ = 14266758489984. Its totient is φ = 1143013294080.

The previous prime is 4407274741913. The next prime is 4407274741921. The reversal of 4407274741920 is 291474727044.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4407274741921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4350900 + ... + 5267340.

It is an arithmetic number, because the mean of its divisors is an integer number (74306033802).

Almost surely, 24407274741920 is an apocalyptic number.

4407274741920 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 4407274741920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7133379244992).

4407274741920 is an abundant number, since it is smaller than the sum of its proper divisors (9859483748064).

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

4407274741920 is a wasteful number, since it uses less digits than its factorization.

4407274741920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916735 (or 916727 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 51.

The spelling of 4407274741920 in words is "four trillion, four hundred seven billion, two hundred seventy-four million, seven hundred forty-one thousand, nine hundred twenty".