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1040132401440 = 253511832373431
BaseRepresentation
bin11110010001011001011…
…10001110100100100000
310200102202121121122121120
433020230232032210200
5114020142343321230
62113455155052240
7135101310351606
oct17105456164440
93612677548546
101040132401440
11371132696110
121497022a1080
13771128c7942
14384b243b876
151c0c9ba3310
hexf22cb8e920

1040132401440 has 192 divisors, whose sum is σ = 3617338217472. Its totient is φ = 249115212800.

The previous prime is 1040132401439. The next prime is 1040132401489. The reversal of 1040132401440 is 441042310401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1040132401440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 748476 + ... + 1624955.

It is an arithmetic number, because the mean of its divisors is an integer number (18840303216).

Almost surely, 21040132401440 is an apocalyptic number.

1040132401440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1040132401440 is an abundant number, since it is smaller than the sum of its proper divisors (2577205816032).

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

1040132401440 is a wasteful number, since it uses less digits than its factorization.

1040132401440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2373543 (or 2373535 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1040132401440 its reverse (441042310401), we get a palindrome (1481174711841).

The spelling of 1040132401440 in words is "one trillion, forty billion, one hundred thirty-two million, four hundred one thousand, four hundred forty".