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402141120000 = 293541741601
BaseRepresentation
bin1011101101000010111…
…10101000011000000000
31102102222220110112110120
411312201132220120000
523042041111320000
6504424023500240
741024301056244
oct5664136503000
91372886415416
10402141120000
111456021a6564
1265b302b7680
132bbca0c5759
141566c6b4424
15a6d98846a0
hex5da17a8600

402141120000 has 800 divisors, whose sum is σ = 1454470595424. Its totient is φ = 98304000000.

The previous prime is 402141119987. The next prime is 402141120011. The reversal of 402141120000 is 21141204.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 669119700 + ... + 669120300.

Almost surely, 2402141120000 is an apocalyptic number.

402141120000 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 402141120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727235297712).

402141120000 is an abundant number, since it is smaller than the sum of its proper divisors (1052329475424).

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

402141120000 is an equidigital number, since it uses as much as digits as its factorization.

402141120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 402141120000 its reverse (21141204), we get a palindrome (402162261204).

The spelling of 402141120000 in words is "four hundred two billion, one hundred forty-one million, one hundred twenty thousand".