40873673917440 has 5280 divisors, whose sum is σ = 198336653222400. Its totient is φ = 7982849064960.

The previous prime is 40873673917381. The next prime is 40873673917499. The reversal of 40873673917440 is 4471937637804.

40873673917440 is a `hidden beast` number, since 4 + 0 + 8 + 7 + 36 + 73 + 91 + 7 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (40873673917381) and next prime (40873673917499).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1318505610225 + ... + 1318505610255.

It is an arithmetic number, because the mean of its divisors is an integer number (37563760080).

Almost surely, 2^{40873673917440} is an apocalyptic number.

40873673917440 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 40873673917440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99168326611200).

40873673917440 is an abundant number, since it is smaller than the sum of its proper divisors (157462979304960).

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

40873673917440 is a wasteful number, since it uses less digits than its factorization.

40873673917440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 40873673917440 in words is "forty trillion, eight hundred seventy-three billion, six hundred seventy-three million, nine hundred seventeen thousand, four hundred forty".