40609701440 has 448 divisors, whose sum is σ = 123941726208. Its totient is φ = 12308889600.

The previous prime is 40609701427. The next prime is 40609701467. The reversal of 40609701440 is 4410790604.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 40609701440.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 192462935 + ... + 192463145.

Almost surely, 2^40609701440 is an apocalyptic number.

40609701440 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 40609701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61970863104).

40609701440 is an abundant number, since it is smaller than the sum of its proper divisors (83332024768).

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

40609701440 is a wasteful number, since it uses less digits than its factorization.

40609701440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The spelling of 40609701440 in words is "forty billion, six hundred nine million, seven hundred one thousand, four hundred forty".