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40221986179648 = 2671353269484411
BaseRepresentation
bin10010010010100111010010…
…01100101100101001000000
312021102011222101002100022211
421021103221030230221000
520232444111430222043
6221313420402311504
711320641212325610
oct1111235114545100
9167364871070284
1040221986179648
11118a8059682479
124617359958594
131959bbc90a1a0
149d0a7c580a40
1549b3ed48ea9d
hex2494e932ca40

40221986179648 has 224 divisors, whose sum is σ = 100460228279040. Its totient is φ = 15553699799040.

The previous prime is 40221986179603. The next prime is 40221986179651. The reversal of 40221986179648 is 84697168912204.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82790563 + ... + 83274973.

It is an arithmetic number, because the mean of its divisors is an integer number (448483161960).

Almost surely, 240221986179648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40221986179648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50230114139520).

40221986179648 is an abundant number, since it is smaller than the sum of its proper divisors (60238242099392).

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

40221986179648 is a wasteful number, since it uses less digits than its factorization.

40221986179648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484765 (or 484755 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 67.

The spelling of 40221986179648 in words is "forty trillion, two hundred twenty-one billion, nine hundred eighty-six million, one hundred seventy-nine thousand, six hundred forty-eight".