40477215815040 has 512 divisors, whose sum is σ = 135100224000000. Its totient is φ = 10288691601408.

The previous prime is 40477215814993. The next prime is 40477215815053. The reversal of 40477215815040 is 4051851277404.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 27743121831 + ... + 27743123289.

It is an arithmetic number, because the mean of its divisors is an integer number (263867625000).

Almost surely, 2^{40477215815040} is an apocalyptic number.

40477215815040 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 40477215815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67550112000000).

40477215815040 is an abundant number, since it is smaller than the sum of its proper divisors (94623008184960).

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

40477215815040 is a wasteful number, since it uses less digits than its factorization.

40477215815040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3262 (or 3250 counting only the distinct ones).

The product of its (nonzero) digits is 1254400, while the sum is 48.

The spelling of 40477215815040 in words is "forty trillion, four hundred seventy-seven billion, two hundred fifteen million, eight hundred fifteen thousand, forty".