40967087760 has 240 divisors, whose sum is σ = 144703024128. Its totient is φ = 10372377600.

The previous prime is 40967087741. The next prime is 40967087761. The reversal of 40967087760 is 6778076904.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 40967087697 and 40967087706.

It is not an unprimeable number, because it can be changed into a prime (40967087761) 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, 1165645 + ... + 1200275.

Almost surely, 2^40967087760 is an apocalyptic number.

40967087760 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 40967087760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72351512064).

40967087760 is an abundant number, since it is smaller than the sum of its proper divisors (103735936368).

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

40967087760 is a wasteful number, since it uses less digits than its factorization.

40967087760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34734 (or 34725 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 40967087760 in words is "forty billion, nine hundred sixty-seven million, eighty-seven thousand, seven hundred sixty".