40754365001280 has 1008 divisors, whose sum is σ = 164243783184624. Its totient is φ = 9248110018560.

The previous prime is 40754365001243. The next prime is 40754365001281. The reversal of 40754365001280 is 8210056345704.

40754365001280 is a `hidden beast` number, since 4 + 0 + 7 + 5 + 4 + 365 + 0 + 0 + 1 + 280 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 21178624896576 + 19575740104704 = 4602024^2 + 4424448^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (40754365001281) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16695764860 + ... + 16695767300.

Almost surely, 2^{40754365001280} is an apocalyptic number.

40754365001280 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 40754365001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82121891592312).

40754365001280 is an abundant number, since it is smaller than the sum of its proper divisors (123489418183344).

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

40754365001280 is a wasteful number, since it uses less digits than its factorization.

40754365001280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3284 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 40754365001280 in words is "forty trillion, seven hundred fifty-four billion, three hundred sixty-five million, one thousand, two hundred eighty".