40742141440 has 480 divisors, whose sum is σ = 131986838016. Its totient is φ = 11712430080.

The previous prime is 40742141393. The next prime is 40742141449. The reversal of 40742141440 is 4414124704.

40742141440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40742141449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33312669 + ... + 33313891.

Almost surely, 2^40742141440 is an apocalyptic number.

40742141440 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 40742141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65993419008).

40742141440 is an abundant number, since it is smaller than the sum of its proper divisors (91244696576).

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

40742141440 is a wasteful number, since it uses less digits than its factorization.

40742141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 31.

The spelling of 40742141440 in words is "forty billion, seven hundred forty-two million, one hundred forty-one thousand, four hundred forty".