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1397021408640 = 27325111317195989
BaseRepresentation
bin10100010101000100111…
…101101111110110000000
311221112221211020200021100
4110111010331233312000
5140342044440034030
62545441025054400
7202634331021144
oct24250475576600
94845854220240
101397021408640
1149952318a540
121a6903787400
13a197a7a9c90
144b88abb7224
15265168e9360
hex14544f6fd80

1397021408640 has 3072 divisors, whose sum is σ = 6495914880000. Its totient is φ = 270941552640.

The previous prime is 1397021408633. The next prime is 1397021408663. The reversal of 1397021408640 is 468041207931.

1397021408640 is a `hidden beast` number, since 1 + 397 + 0 + 2 + 140 + 86 + 40 = 666.

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 383 ways as a sum of consecutive naturals, for example, 15696869716 + ... + 15696869804.

It is an arithmetic number, because the mean of its divisors is an integer number (2114555625).

Almost surely, 21397021408640 is an apocalyptic number.

1397021408640 is a gapful number since it is divisible by the number (10) 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 1397021408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3247957440000).

1397021408640 is an abundant number, since it is smaller than the sum of its proper divisors (5098893471360).

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

1397021408640 is a wasteful number, since it uses less digits than its factorization.

1397021408640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1397021408640 in words is "one trillion, three hundred ninety-seven billion, twenty-one million, four hundred eight thousand, six hundred forty".