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420698880000 = 211335473747
BaseRepresentation
bin1100001111100111001…
…10110111100000000000
31111012220020011102101000
412013303212313200000
523343042403130000
6521133313012000
742252211322640
oct6076346674000
91435806142330
10420698880000
111524656062a3
126964b254000
1330896a52629
141650d210520
15ae23bb5000
hex61f39b7800

420698880000 has 1920 divisors, whose sum is σ = 1866722457600. Its totient is φ = 91570176000.

The previous prime is 420698879981. The next prime is 420698880079. The reversal of 420698880000 is 88896024.

It is a happy number.

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8951039977 + ... + 8951040023.

It is an arithmetic number, because the mean of its divisors is an integer number (972251280).

Almost surely, 2420698880000 is an apocalyptic number.

420698880000 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 420698880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933361228800).

420698880000 is an abundant number, since it is smaller than the sum of its proper divisors (1446023577600).

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

420698880000 is an equidigital number, since it uses as much as digits as its factorization.

420698880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 420698880000 in words is "four hundred twenty billion, six hundred ninety-eight million, eight hundred eighty thousand".