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401384395940 = 22511173133710273
BaseRepresentation
bin1011101011101000101…
…11111101010010100100
31102101001011112222012112
411311310113331102210
523034013401132230
6504220552340152
740666452033533
oct5656427752244
91371034488175
10401384395940
11145254033580
126595a9a4658
132bb093b5538
14155d9db231a
15a693209d95
hex5d745fd4a4

401384395940 has 192 divisors, whose sum is σ = 1008113154048. Its totient is φ = 132533452800.

The previous prime is 401384395897. The next prime is 401384395943. The reversal of 401384395940 is 49593483104.

It is a super-2 number, since 2×4013843959402 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401384395943) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39066644 + ... + 39076916.

It is an arithmetic number, because the mean of its divisors is an integer number (5250589344).

Almost surely, 2401384395940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401384395940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504056577024).

401384395940 is an abundant number, since it is smaller than the sum of its proper divisors (606728758108).

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

401384395940 is a wasteful number, since it uses less digits than its factorization.

401384395940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10678 (or 10676 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 50.

The spelling of 401384395940 in words is "four hundred one billion, three hundred eighty-four million, three hundred ninety-five thousand, nine hundred forty".