40052476477440 has 3456 divisors, whose sum is σ = 181740847841280. Its totient is φ = 8255648563200.

The previous prime is 40052476477439. The next prime is 40052476477441. The reversal of 40052476477440 is 4477467425004.

40052476477440 is a `hidden beast` number, since 4 + 0 + 0 + 524 + 7 + 6 + 4 + 7 + 74 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (40052476477439) and next prime (40052476477441).

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40052476477441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 656597975010 + ... + 656597975070.

It is an arithmetic number, because the mean of its divisors is an integer number (52587050880).

Almost surely, 2^{40052476477440} is an apocalyptic number.

40052476477440 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 40052476477440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90870423920640).

40052476477440 is an abundant number, since it is smaller than the sum of its proper divisors (141688371363840).

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

40052476477440 is an frugal number, since it uses more digits than its factorization.

40052476477440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 21073920, while the sum is 54.

The spelling of 40052476477440 in words is "forty trillion, fifty-two billion, four hundred seventy-six million, four hundred seventy-seven thousand, four hundred forty".