40540028256000 has 4032 divisors, whose sum is σ = 189119998529280. Its totient is φ = 8477805772800.

The previous prime is 40540028255981. The next prime is 40540028256073. The reversal of 40540028256000 is 65282004504.

It is a happy number.

40540028256000 is a `hidden beast` number, since 4 + 0 + 5 + 4 + 0 + 0 + 28 + 25 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 358761311944 + ... + 358761312056.

It is an arithmetic number, because the mean of its divisors is an integer number (46904761540).

Almost surely, 2^{40540028256000} is an apocalyptic number.

40540028256000 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 40540028256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94559999264640).

40540028256000 is an abundant number, since it is smaller than the sum of its proper divisors (148579970273280).

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

40540028256000 is an frugal number, since it uses more digits than its factorization.

40540028256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 40540028256000 in words is "forty trillion, five hundred forty billion, twenty-eight million, two hundred fifty-six thousand".