40545849600 has 243 divisors, whose sum is σ = 145133547013. Its totient is φ = 10799339520.

The previous prime is 40545849593. The next prime is 40545849611. The reversal of 40545849600 is 694854504.

The square root of 40545849600 is 201360.

It is a perfect power (a square), and thus also a powerful number.

40545849600 is a `hidden beast` number, since 4 + 0 + 5 + 4 + 584 + 9 + 60 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14596505856 + 25949343744 = 120816^2 + 161088^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 48325981 + ... + 48326819.

Almost surely, 2^40545849600 is an apocalyptic number.

40545849600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

40545849600 is the 201360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40545849600

40545849600 is an abundant number, since it is smaller than the sum of its proper divisors (104587697413).

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

40545849600 is an frugal number, since it uses more digits than its factorization.

40545849600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 40545849600 in words is "forty billion, five hundred forty-five million, eight hundred forty-nine thousand, six hundred".