40049861760 has 192 divisors, whose sum is σ = 140246458560. Its totient is φ = 10529433600.

The previous prime is 40049861701. The next prime is 40049861849. The reversal of 40049861760 is 6716894004.

40049861760 is a `hidden beast` number, since 40 + 0 + 498 + 61 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×40049861760² (a number of 22 digits) contains 22 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 23 ways as a sum of consecutive naturals, for example, 359995 + ... + 457925.

It is an arithmetic number, because the mean of its divisors is an integer number (730450305).

Almost surely, 2^40049861760 is an apocalyptic number.

40049861760 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 40049861760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70123229280).

40049861760 is an abundant number, since it is smaller than the sum of its proper divisors (100196596800).

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

40049861760 is a wasteful number, since it uses less digits than its factorization.

40049861760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98027 (or 98012 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 40049861760 in words is "forty billion, forty-nine million, eight hundred sixty-one thousand, seven hundred sixty".