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40880541240 = 233857211172
BaseRepresentation
bin100110000100101010…
…111000111000111000
310220112000221200000000
4212010222320320320
51132210404304430
630440311513000
72645025603300
oct460452707070
9126460850000
1040880541240
1116378aaa780
127b0a988760
133b16624c96
141d9b500600
1510e3e6ce60
hex984ab8e38

40880541240 has 1296 divisors, whose sum is σ = 185984271720. Its totient is φ = 7994972160.

The previous prime is 40880541239. The next prime is 40880541259. The reversal of 40880541240 is 4214508804.

40880541240 is a `hidden beast` number, since 408 + 8 + 0 + 5 + 4 + 1 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40880541195 and 40880541204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 2404737712 + ... + 2404737728.

Almost surely, 240880541240 is an apocalyptic number.

40880541240 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 40880541240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92992135860).

40880541240 is an abundant number, since it is smaller than the sum of its proper divisors (145103730480).

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

40880541240 is a wasteful number, since it uses less digits than its factorization.

40880541240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 40880541240 in words is "forty billion, eight hundred eighty million, five hundred forty-one thousand, two hundred forty".