40010667055560 has 384 divisors, whose sum is σ = 134796602304000. Its totient is φ = 10284609927168.

The previous prime is 40010667055537. The next prime is 40010667055571. The reversal of 40010667055560 is 6555076601004.

40010667055560 is a `hidden beast` number, since 4 + 0 + 0 + 10 + 6 + 6 + 70 + 5 + 5 + 560 = 666.

It is a super-4 number, since 4×40010667055560⁴ (a number of 56 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 641340129 + ... + 641402511.

It is an arithmetic number, because the mean of its divisors is an integer number (351032818500).

Almost surely, 2^{40010667055560} is an apocalyptic number.

40010667055560 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 40010667055560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67398301152000).

40010667055560 is an abundant number, since it is smaller than the sum of its proper divisors (94785935248440).

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

40010667055560 is a wasteful number, since it uses less digits than its factorization.

40010667055560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62885 (or 62878 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 40010667055560 in words is "forty trillion, ten billion, six hundred sixty-seven million, fifty-five thousand, five hundred sixty".