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425011220400 = 2435213192163463
BaseRepresentation
bin1100010111101001010…
…01001000111110110000
31111122000202121000022010
412023310221020332300
523430410333023100
6523125241242520
742464113523634
oct6136451107660
91448022530263
10425011220400
11154278832488
126a453493440
13311032a2a40
14167dbc2adc4
15b0c7585750
hex62f4a48fb0

425011220400 has 720 divisors, whose sum is σ = 1560264470016. Its totient is φ = 98291128320.

The previous prime is 425011220371. The next prime is 425011220437. The reversal of 425011220400 is 4022110524.

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 143 ways as a sum of consecutive naturals, for example, 917950569 + ... + 917951031.

Almost surely, 2425011220400 is an apocalyptic number.

425011220400 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 425011220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780132235008).

425011220400 is an abundant number, since it is smaller than the sum of its proper divisors (1135253249616).

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

425011220400 is a wasteful number, since it uses less digits than its factorization.

425011220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 425011220400 its reverse (4022110524), we get a palindrome (429033330924).

The spelling of 425011220400 in words is "four hundred twenty-five billion, eleven million, two hundred twenty thousand, four hundred".