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402421400000 = 26552969383
BaseRepresentation
bin1011101101100100010…
…11110100000111000000
31102110201102212020100022
411312302023310013000
523043124334300000
6504511515113012
741034243314144
oct5666213640700
91373642766308
10402421400000
11145736431024
1265baa142768
132bc431aa6c9
14156979d3224
15a70429a585
hex5db22f41c0

402421400000 has 168 divisors, whose sum is σ = 1032562974240. Its totient is φ = 155415680000.

The previous prime is 402421399981. The next prime is 402421400021. The reversal of 402421400000 is 4124204.

It is a super-3 number, since 3×4024214000003 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5765309 + ... + 5834691.

It is an arithmetic number, because the mean of its divisors is an integer number (6146208180).

Almost surely, 2402421400000 is an apocalyptic number.

402421400000 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 402421400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516281487120).

402421400000 is an abundant number, since it is smaller than the sum of its proper divisors (630141574240).

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

402421400000 is an frugal number, since it uses more digits than its factorization.

402421400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69449 (or 69419 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 402421400000 its reverse (4124204), we get a palindrome (402425524204).

The spelling of 402421400000 in words is "four hundred two billion, four hundred twenty-one million, four hundred thousand".