40723462600000 has 336 divisors, whose sum is σ = 108008194376880. Its totient is φ = 15179264000000.

The previous prime is 40723462599997. The next prime is 40723462600021. The reversal of 40723462600000 is 626432704.

It can be written as a sum of positive squares in 24 ways, for example, as 37154778902784 + 3568683697216 = 6095472^2 + 1889096^2 .

It is a super-2 number, since 2×40723462600000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 343340706 + ... + 343459294.

It is an arithmetic number, because the mean of its divisors is an integer number (321452959455).

Almost surely, 2^{40723462600000} is an apocalyptic number.

40723462600000 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 40723462600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54004097188440).

40723462600000 is an abundant number, since it is smaller than the sum of its proper divisors (67284731776880).

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

40723462600000 is a wasteful number, since it uses less digits than its factorization.

40723462600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118744 (or 118714 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

The spelling of 40723462600000 in words is "forty trillion, seven hundred twenty-three billion, four hundred sixty-two million, six hundred thousand".